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 A329296 Numbers whose digits are in nondecreasing order in bases 6 and 7. 6
 0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 16, 17, 57, 58, 59, 65, 89, 130, 131, 172, 173, 179, 1600, 1601, 3203 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS There are no more terms through 10^10000 (which is a 12851-digit number in base 6 and an 11833-digit number in base 7). But can it be proved that 3203 is the final term of the sequence? LINKS Table of n, a(n) for n=1..25. EXAMPLE a(1) = 0 = 0_6 = 0_7 a(2) = 1 = 1_6 = 1_7 a(3) = 2 = 2_6 = 2_7 a(4) = 3 = 3_6 = 3_7 a(5) = 4 = 4_6 = 4_7 a(6) = 5 = 5_6 = 5_7 a(7) = 8 = 12_6 = 11_7 a(8) = 9 = 13_6 = 12_7 a(9) = 10 = 14_6 = 13_7 a(10) = 11 = 15_6 = 14_7 a(11) = 16 = 24_6 = 22_7 a(12) = 17 = 25_6 = 23_7 a(13) = 57 = 133_6 = 111_7 a(14) = 58 = 134_6 = 112_7 a(15) = 59 = 135_6 = 113_7 a(16) = 65 = 145_6 = 122_7 a(17) = 89 = 225_6 = 155_7 a(18) = 130 = 334_6 = 244_7 a(19) = 131 = 335_6 = 245_7 a(20) = 172 = 444_6 = 334_7 a(21) = 173 = 445_6 = 335_7 a(22) = 179 = 455_6 = 344_7 a(23) = 1600 = 11224_6 = 4444_7 a(24) = 1601 = 11225_6 = 4445_7 a(25) = 3203 = 22455_6 = 12224_7 CROSSREFS Intersection of A023748 (base 6) and A023749 (base 7). Numbers whose digits are in nondecreasing order in bases b and b+1: A329294 (b=4), A329295 (b=5), this sequence (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: A032844 A023775 A363235 * A356713 A032867 A031999 Adjacent sequences: A329293 A329294 A329295 * A329297 A329298 A329299 KEYWORD nonn,base AUTHOR Jon E. Schoenfield, Nov 17 2019 STATUS approved

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Last modified December 3 19:10 EST 2023. Contains 367540 sequences. (Running on oeis4.)