# This is the a260998.txt text file. # S_2-sets that yield a(n) for n = 2..254 # a(1)-a(90) from H. Haanpaa, A. Huima and P. R. J. Ostergard (see link on page oeis.org/a260998), Nov 08 2000 # a(91)-a(200) from Fausto A. C. Cariboni, Nov 09 2017 # a(201)-a(251) from Fausto A. C. Cariboni, Dec 08 2017 # a(252)-a(254) from Fausto A. C. Cariboni, Mar 24 2018 a(2)=2 from {0,1} a(3)=3 from {0,1,2} a(4)=3 from {0,1,2} a(5)=3 from {0,1,2} a(6)=4 from {0,1,2,4} a(7)=4 from {0,1,2,4} a(8)=4 from {0,1,2,4} a(9)=4 from {0,1,2,4} a(10)=4 from {0,1,2,4} a(11)=5 from {0,1,2,4,7} a(12)=5 from {0,1,2,4,7} a(13)=5 from {0,1,2,4,7} a(14)=5 from {0,1,2,4,7} a(15)=5 from {0,1,2,4,7} a(16)=5 from {0,1,2,4,7} a(17)=5 from {0,1,2,4,7} a(18)=5 from {0,1,2,4,7} a(19)=6 from {0,1,2,4,7,12} a(20)=6 from {0,1,2,4,7,12} a(21)=6 from {0,1,2,4,7,12} a(22)=6 from {0,1,2,4,7,12} a(23)=6 from {0,1,2,4,7,12} a(24)=6 from {0,1,2,4,7,12} a(25)=6 from {0,1,2,4,7,12} a(26)=6 from {0,1,2,4,7,12} a(27)=6 from {0,1,2,4,7,12} a(28)=7 from {0,1,2,4,8,15,20} a(29)=7 from {0,1,2,5,9,18,24} a(30)=7 from {0,1,2,4,8,16,21} a(31)=7 from {0,1,2,4,8,13,18} a(32)=7 from {0,1,2,4,7,12,20} a(33)=7 from {0,1,2,4,7,12,20} a(34)=7 from {0,1,2,4,7,12,20} a(35)=7 from {0,1,2,4,7,12,20} a(36)=7 from {0,1,2,4,7,12,20} a(37)=7 from {0,1,2,4,7,12,20} a(38)=7 from {0,1,2,4,7,12,20} a(39)=7 from {0,1,2,4,7,12,20} a(40)=8 from {0,1,5,7,9,20,23,35} a(41)=7 from {0,1,2,4,7,12,20} a(42)=8 from {0,1,2,4,8,24,29,34} a(43)=8 from {0,1,2,4,7,12,22,31} a(44)=8 from {0,1,2,4,7,13,23,31} a(45)=8 from {0,1,2,4,7,12,23,32} a(46)=8 from {0,1,2,4,7,13,23,33} a(47)=8 from {0,1,2,4,7,12,22,35} a(48)=8 from {0,1,2,4,7,12,22,36} a(49)=8 from {0,1,2,4,7,12,20,29} a(50)=8 from {0,1,2,4,7,12,20,29} a(51)=8 from {0,1,2,4,7,12,20,29} a(52)=8 from {0,1,2,4,7,12,20,29} a(53)=8 from {0,1,2,4,7,12,20,29} a(54)=8 from {0,1,2,4,7,12,20,29} a(55)=8 from {0,1,2,4,7,12,20,29} a(56)=9 from {0,1,2,4,7,13,24,32,42} a(57)=9 from {0,1,2,4,12,30,37,44,53} a(58)=9 from {0,1,2,4,7,13,23,31,45} a(59)=9 from {0,1,2,4,7,13,23,31,46} a(60)=9 from {0,1,2,4,7,13,24,32,46} a(61)=9 from {0,1,2,4,7,13,23,31,48} a(62)=9 from {0,1,2,4,7,12,22,37,50} a(63)=9 from {0,1,2,4,7,12,22,37,51} a(64)=9 from {0,1,2,4,7,12,20,35,44} a(65)=9 from {0,1,2,4,7,12,20,33,42} a(66)=9 from {0,1,2,4,7,12,20,36,45} a(67)=9 from {0,1,2,4,7,12,20,29,38} a(68)=9 from {0,1,2,4,7,12,20,29,38} a(69)=9 from {0,1,2,4,7,12,20,29,38} a(70)=9 from {0,1,2,4,7,12,20,29,38} a(71)=9 from {0,1,2,4,7,12,20,29,38} a(72)=10 from {0,1,2,4,7,13,23,31,39,59} a(73)=10 from {0,1,2,4,8,16,32,37,55,64} a(74)=10 from {0,1,2,4,9,17,28,34,40,54} a(75)=9 from {0,1,2,4,7,12,20,29,38} a(76)=10 from {0,1,2,4,7,14,24,33,41,62} a(77)=10 from {0,1,2,4,7,13,23,31,39,64} a(78)=10 from {0,1,2,4,7,12,22,43,52,66} a(79)=10 from {0,1,2,4,7,12,22,44,53,67} a(80)=10 from {0,1,2,4,7,12,22,43,52,68} a(81)=10 from {0,1,2,4,7,13,23,33,41,58} a(82)=10 from {0,1,2,4,7,12,22,40,57,70} a(83)=10 from {0,1,2,4,7,12,23,46,55,70} a(84)=10 from {0,1,2,4,7,12,22,42,59,72} a(85)=10 from {0,1,2,4,7,12,20,33,48,62} a(86)=10 from {0,1,2,4,7,12,20,33,48,63} a(87)=10 from {0,1,2,4,7,12,20,29,44,58} a(88)=10 from {0,1,2,4,7,12,20,29,44,59} a(89)=10 from {0,1,2,4,7,12,20,29,46,60} a(90)=10 from {0,1,2,4,7,12,20,29,38,52} a(91)=10 from {0,1,2,4,7,12,20,29,38,52} a(92)=10 from {0,1,2,4,7,12,20,29,38,52} a(93)=10 from {0,1,2,4,7,12,20,29,38,52} a(94)=10 from {0,1,2,4,7,12,20,29,38,52} a(95)=10 from {0,1,2,4,7,12,20,29,38,52} a(96)=11 from {0,1,2,4,10,16,30,37,50,55,74} a(97)=11 from {0,1,2,4,9,14,24,35,56,62,81} a(98)=11 from {0,1,2,4,8,34,51,62,75,80,90} a(99)=11 from {0,1,2,4,7,15,26,45,54,66,83} a(100)=11 from {0,1,2,4,7,17,27,50,64,72,83} a(101)=11 from {0,1,2,4,7,13,21,35,51,66,76} a(102)=11 from {0,1,2,4,7,12,24,46,55,74,88} a(103)=11 from {0,1,2,4,7,12,23,57,66,75,90} a(104)=11 from {0,1,2,4,7,12,22,43,52,79,92} a(105)=11 from {0,1,2,4,7,12,20,34,57,66,81} a(106)=11 from {0,1,2,4,7,12,20,29,38,53,68} a(107)=11 from {0,1,2,4,7,12,20,37,46,60,87} a(108)=11 from {0,1,2,4,7,12,20,33,61,70,85} a(109)=11 from {0,1,2,4,7,12,20,35,63,72,89} a(110)=11 from {0,1,2,4,7,12,20,33,48,62,87} a(111)=11 from {0,1,2,4,7,12,20,29,38,53,68} a(112)=11 from {0,1,2,4,7,12,20,29,38,53,74} a(113)=11 from {0,1,2,4,7,12,20,29,38,61,75} a(114)=12 from {0,1,4,14,22,34,39,66,68,77,92,108} a(115)=11 from {0,1,2,4,7,12,20,29,38,52,73} a(116)=11 from {0,1,2,4,7,12,20,29,38,59,74} a(117)=11 from {0,1,2,4,7,12,20,29,38,52,75} a(118)=11 from {0,1,2,4,7,12,20,29,38,52,76} a(119)=11 from {0,1,2,4,7,12,20,29,38,53,76} a(120)=12 from {0,1,2,4,9,16,28,56,62,79,100,111} a(121)=12 from {0,1,2,4,9,18,28,54,67,79,90,101} a(122)=12 from {0,1,2,5,8,16,28,38,48,57,88,106} a(123)=12 from {0,1,2,4,7,14,23,31,48,59,74,92} a(124)=12 from {0,1,2,4,7,14,29,47,56,64,94,105} a(125)=12 from {0,1,2,4,7,12,21,38,53,69,82,104} a(126)=12 from {0,1,2,4,7,13,27,48,56,66,96,111} a(127)=12 from {0,1,2,4,7,13,23,41,55,69,84,104} a(128)=12 from {0,1,2,4,7,13,21,41,56,72,82,105} a(129)=12 from {0,1,2,4,7,13,23,49,63,78,98,106} a(130)=12 from {0,1,2,4,7,12,20,33,48,65,82,107} a(131)=12 from {0,1,2,4,7,12,20,29,44,67,81,102} a(132)=12 from {0,1,2,4,7,12,20,29,44,68,82,103} a(133)=12 from {0,1,2,4,7,12,20,29,38,52,76,91} a(134)=12 from {0,1,2,4,7,12,20,33,48,62,71,101} a(135)=12 from {0,1,2,4,7,12,20,29,46,69,83,104} a(136)=12 from {0,1,2,4,7,12,20,29,43,58,73,103} a(137)=12 from {0,1,2,4,7,12,20,29,46,70,85,106} a(138)=12 from {0,1,2,4,7,12,20,29,38,59,74,89} a(139)=12 from {0,1,2,4,7,12,20,29,38,52,76,97} a(140)=12 from {0,1,2,4,7,12,20,29,43,58,73,107} a(141)=12 from {0,1,2,4,7,12,20,29,38,53,68,98} a(142)=12 from {0,1,2,4,7,12,20,29,38,52,76,100} a(143)=12 from {0,1,2,4,7,12,20,29,38,53,68,100} a(144)=12 from {0,1,2,4,7,12,20,29,38,52,76,91} a(145)=12 from {0,1,2,4,7,12,20,29,38,53,74,88} a(146)=12 from {0,1,2,4,7,12,20,29,38,53,68,103} a(147)=13 from {0,1,2,4,7,29,40,54,75,88,107,131,139} a(148)=13 from {0,1,2,4,13,21,29,39,45,69,76,99,135} a(149)=13 from {0,1,2,4,15,29,58,70,90,111,116,134,142} a(150)=13 from {0,1,2,4,7,13,22,41,49,66,82,96,128} a(151)=13 from {0,1,2,4,7,12,25,34,50,65,79,96,116} a(152)=13 from {0,1,2,4,7,12,20,35,63,77,106,115,132} a(153)=13 from {0,1,2,4,7,13,27,51,84,92,102,123,138} a(154)=13 from {0,1,2,4,7,13,28,47,57,65,87,107,123} a(155)=13 from {0,1,2,4,7,13,25,46,85,93,101,128,142} a(156)=13 from {0,1,2,4,7,12,20,42,68,82,105,114,129} a(157)=13 from {0,1,2,4,7,13,23,44,52,69,84,104,131} a(158)=13 from {0,1,2,4,7,12,20,29,38,53,85,99,120} a(159)=13 from {0,1,2,4,7,12,28,49,87,96,105,127,146} a(160)=13 from {0,1,2,4,7,12,20,44,53,67,88,103,133} a(161)=13 from {0,1,2,4,7,12,20,36,62,71,88,125,140} a(162)=13 from {0,1,2,4,7,12,20,36,51,68,90,111,136} a(163)=13 from {0,1,2,4,7,12,20,36,62,71,88,127,142} a(164)=13 from {0,1,2,4,7,12,20,33,47,56,71,86,108} a(165)=13 from {0,1,2,4,7,12,20,29,38,53,85,106,127} a(166)=13 from {0,1,2,4,7,12,20,29,54,69,93,107,137} a(167)=13 from {0,1,2,4,7,12,20,29,38,53,85,99,129} a(168)=13 from {0,1,2,4,7,12,20,29,38,53,86,100,130} a(169)=13 from {0,1,2,4,7,12,20,29,38,64,85,99,131} a(170)=13 from {0,1,2,4,7,12,20,29,46,69,83,124,139} a(171)=13 from {0,1,2,4,7,12,20,29,57,71,95,110,142} a(172)=13 from {0,1,2,4,7,12,20,29,38,52,76,91,106} a(173)=13 from {0,1,2,4,7,12,20,29,46,69,90,127,142} a(174)=13 from {0,1,2,4,7,12,20,29,38,52,76,97,132} a(175)=13 from {0,1,2,4,7,12,20,29,38,52,73,97,112} a(176)=13 from {0,1,2,4,7,12,20,29,38,52,104,119,134} a(177)=13 from {0,1,2,4,7,12,20,29,38,52,105,120,135} a(178)=14 from {0,1,2,4,16,51,80,98,105,111,137,142,159,170} a(179)=13 from {0,1,2,4,7,12,20,29,38,52,75,99,114} a(180)=14 from {0,1,2,4,7,16,33,50,60,99,107,120,144,162} a(181)=13 from {0,1,2,4,7,12,20,29,38,52,75,96,129} a(182)=14 from {0,1,2,4,7,14,27,47,55,83,94,118,152,167} a(183)=15 from {0,1,2,14,18,21,27,52,81,86,91,128,139,161,169} a(184)=14 from {0,1,2,4,7,12,43,64,84,93,118,140,158,172} a(185)=14 from {0,1,2,4,7,12,20,38,53,86,95,125,142,165} a(186)=14 from {0,1,2,4,7,14,23,40,71,82,100,135,143,163} a(187)=14 from {0,1,2,4,7,12,24,38,51,72,105,114,130,159} a(188)=14 from {0,1,2,4,7,12,20,35,50,71,80,107,134,148} a(189)=14 from {0,1,2,4,7,12,30,48,70,85,94,119,139,158} a(190)=14 from {0,1,2,4,7,12,22,38,74,83,107,134,148,162} a(191)=14 from {0,1,2,4,7,12,24,38,56,75,84,105,134,150} a(192)=14 from {0,1,2,4,7,12,22,36,55,68,98,115,124,155} a(193)=14 from {0,1,2,4,7,12,20,34,55,78,106,115,130,155} a(194)=14 from {0,1,2,4,7,12,20,39,54,69,83,100,109,173} a(195)=14 from {0,1,2,4,7,12,20,29,46,61,76,99,113,134} a(196)=14 from {0,1,2,4,7,12,20,37,46,106,121,135,149,176} a(197)=14 from {0,1,2,4,7,12,20,33,54,76,112,121,136,160} a(198)=14 from {0,1,2,4,7,12,20,35,62,76,106,115,132,153} a(199)=14 from {0,1,2,4,7,12,20,29,54,75,98,124,139,163} a(200)=14 from {0,1,2,4,7,12,20,29,38,53,76,106,120,141} a(201)=14 from {0,1,2,4,7,12,20,29,51,77,101,115,147,168} a(202)=14 from {0,1,2,4,7,12,20,29,38,53,77,107,121,142} a(203)=14 from {0,1,2,4,7,12,20,29,38,53,86,107,142,165} a(204)=14 from {0,1,2,4,7,12,20,29,38,53,108,122,143,166} a(205)=14 from {0,1,2,4,7,12,20,29,56,71,86,110,134,172} a(206)=14 from {0,1,2,4,7,12,20,29,38,62,77,109,123,144} a(207)=14 from {0,1,2,4,7,12,20,29,38,52,73,119,134,149} a(208)=14 from {0,1,2,4,7,12,20,29,38,77,101,122,154,168} a(209)=15 from {0,1,2,4,7,40,48,56,67,79,93,110,130,152,181} a(210)=14 from {0,1,2,4,7,12,20,29,38,52,73,116,131,155} a(211)=15 from {0,1,2,5,13,19,26,46,61,76,92,108,144,173,202} a(212)=15 from {0,1,2,4,7,30,42,55,73,109,119,129,153,197,205} a(213)=14 from {0,1,2,4,7,12,20,29,38,52,75,122,137,161} a(214)=15 from {0,1,2,4,7,32,46,62,72,83,95,110,119,162,196} a(215)=15 from {0,1,2,4,29,39,47,73,80,87,93,99,104,135,194} a(216)=15 from {0,1,2,4,7,40,53,69,77,104,135,161,176,195,206} a(217)=15 from {0,1,2,4,7,18,38,78,86,101,113,152,165,174,193} a(218)=15 from {0,1,2,4,8,14,28,43,66,88,97,113,118,169,186} a(219)=15 from {0,1,2,4,7,12,20,36,62,71,101,115,146,183,198} a(220)=15 from {0,1,2,4,7,16,25,51,62,79,89,99,121,155,191} a(221)=15 from {0,1,2,4,7,12,24,41,81,97,111,161,170,179,197} a(222)=15 from {0,1,2,4,7,12,20,29,46,69,92,116,140,170,191} a(223)=15 from {0,1,2,4,7,12,20,33,50,59,74,101,115,137,190} a(224)=15 from {0,1,2,4,7,12,20,37,46,67,91,105,119,148,175} a(225)=15 from {0,1,2,4,7,12,20,37,46,72,87,101,115,178,205} a(226)=15 from {0,1,2,4,7,12,28,43,52,61,98,120,145,164,198} a(227)=15 from {0,1,2,4,7,12,20,29,67,82,106,139,160,183,197} a(228)=15 from {0,1,2,4,7,12,20,37,58,67,117,139,161,187,201} a(229)=15 from {0,1,2,4,7,12,21,43,74,97,122,149,173,186,201} a(230)=15 from {0,1,2,4,7,12,20,29,68,83,107,141,162,185,199} a(231)=15 from {0,1,2,4,7,12,20,37,54,68,77,99,123,150,194} a(232)=15 from {0,1,2,4,7,12,20,35,56,77,107,124,148,170,207} a(233)=15 from {0,1,2,4,7,12,20,36,60,91,116,142,159,168,196} a(234)=15 from {0,1,2,4,7,12,20,36,63,96,117,148,171,188,197} a(235)=15 from {0,1,2,4,7,12,20,33,73,98,113,137,160,187,201} a(236)=15 from {0,1,2,4,7,12,20,29,46,70,111,125,148,184,205} a(237)=15 from {0,1,2,4,7,12,20,33,48,72,96,121,159,182,204} a(238)=15 from {0,1,2,4,7,12,20,33,50,74,121,146,160,182,205} a(239)=15 from {0,1,2,4,7,12,20,29,56,82,105,129,144,174,208} a(240)=15 from {0,1,2,4,7,12,20,29,46,80,94,141,156,188,211} a(241)=15 from {0,1,2,4,7,12,20,29,43,57,87,113,145,179,194} a(242)=15 from {0,1,2,4,7,12,20,29,38,62,77,92,122,143,175} a(243)=15 from {0,1,2,4,7,12,20,29,38,61,102,123,137,176,200} a(244)=15 from {0,1,2,4,7,12,20,29,50,65,80,104,137,163,204} a(245)=15 from {0,1,2,4,7,12,20,29,38,52,104,125,164,188,203} a(246)=15 from {0,1,2,4,7,12,20,29,38,61,75,110,131,161,208} a(247)=15 from {0,1,2,4,7,12,20,29,43,58,73,105,139,160,184} a(248)=15 from {0,1,2,4,7,12,20,29,38,64,78,111,132,162,207} a(249)=15 from {0,1,2,4,7,12,20,29,38,62,76,111,132,164,210} a(250)=15 from {0,1,2,4,7,12,20,29,38,52,84,137,161,176,191} a(251)=15 from {0,1,2,4,7,12,20,29,38,53,68,140,154,175,198} a(252)=16 from {0,1,2,4,32,47,54,65,94,120,128,145,169,196,217,240} a(253)=16 from {0,1,2,4,24,71,100,107,134,140,161,180,198,212,229,242} a(254)=15 from {0,1,2,4,7,12,20,29,38,52,75,96,138,153,202}