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 A117707 Largest number of previous terms having at least one common digit in decimal representation. 0

%I

%S 0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,

%T 7,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,

%U 11,12,13,14,15,16,17,18,19,20,20,20,20,20,20,20,20,20,20,20,21,21,22,22

%N Largest number of previous terms having at least one common digit in decimal representation.

%C a(n) = A003056(n) for n <= 63.

%e n=64: occurrences of digit d in the first 63 terms:

%e d=0:#{a(0),a(55),a(56),a(57),a(58),a(59),a(60),a(61),a(62),a(63)}=10,

%e d=1:#{a(1),a(2),a(55),a(56),a(57),a(58),a(59),a(60),a(61),a(62),a(63)}=11,

%e d=2:#{a(3),a(4),a(5)}=3,

%e d=3:#{a(6),a(7),a(8),a(9)}=4,

%e d=4:#{a(10),a(11),a(12),a(13),a(14)}=5,

%e d=5:#{a(15),a(16),a(17),a(18),a(19),a(20)}=6,

%e d=6:#{a(21),a(22),a(23),a(24),a(25),a(26),a(27)}=7,

%e d=7:#{a(28),a(29),a(30),a(31),a(32),a(33),a(34),a(35)}=8,

%e d=8:#{a(36),a(37),a(38),a(39),a(40),a(41),a(42),a(43),a(44)}=9,

%e d=9:#{a(45),a(46),a(47),a(48),a(49),a(50),a(51),a(52),a(53),a(54)}=10,

%e therefore a(64) = max{10, 11, 3, 4, 5, 6, 7, 8, 9, 10} = 11.

%K nonn,base

%O 0,4

%A _Reinhard Zumkeller_, Apr 13 2006

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Last modified May 26 08:00 EDT 2022. Contains 354077 sequences. (Running on oeis4.)