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 A329295 Numbers whose digits are in nondecreasing order in bases 5 and 6. 6
 0, 1, 2, 3, 4, 7, 8, 9, 14, 43, 44, 64, 93, 94, 784, 1562, 1563, 1564, 1569, 1599, 3124, 9374 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS There are no more terms through 10^10000 (which is a 14307-digit number in base 5 and a 12851-digit number in base 6). But can it be proved that 9374 is the final term of the sequence? LINKS Table of n, a(n) for n=1..22. EXAMPLE a(1) = 0 = 0_5 = 0_6 a(2) = 1 = 1_5 = 1_6 a(3) = 2 = 2_5 = 2_6 a(4) = 3 = 3_5 = 3_6 a(5) = 4 = 4_5 = 4_6 a(6) = 7 = 12_5 = 11_6 a(7) = 8 = 13_5 = 12_6 a(8) = 9 = 14_5 = 13_6 a(9) = 14 = 24_5 = 22_6 a(10) = 43 = 133_5 = 111_6 a(11) = 44 = 134_5 = 112_6 a(12) = 64 = 224_5 = 144_6 a(13) = 93 = 333_5 = 233_6 a(14) = 94 = 334_5 = 234_6 a(15) = 784 = 11114_5 = 3344_6 a(16) = 1562 = 22222_5 = 11122_6 a(17) = 1563 = 22223_5 = 11123_6 a(18) = 1564 = 22224_5 = 11124_6 a(19) = 1569 = 22234_5 = 11133_6 a(20) = 1599 = 22344_5 = 11223_6 a(21) = 3124 = 44444_5 = 22244_6 a(22) = 9374 = 244444_5 = 111222_6 CROSSREFS Intersection of A023747 (base 5) and A023748 (base 6). Numbers whose digits are in nondecreasing order in bases b and b+1: A329294 (b=4), this sequence (b=5), A329296 (b=6), A329297 (b=7), A329298 (b=8), A329299 (b=9). See A329300 for the (apparently) largest term of each of these sequences. Sequence in context: A322742 A307561 A152037 * A058075 A243495 A340324 Adjacent sequences: A329292 A329293 A329294 * A329296 A329297 A329298 KEYWORD nonn,base AUTHOR Jon E. Schoenfield, Nov 17 2019 STATUS approved

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Last modified September 30 19:11 EDT 2023. Contains 365793 sequences. (Running on oeis4.)