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 A238338 Encoded bases for which A214424(n) is palindromic. 3
 13, 26, 13, 47, 28, 46, 24, 17, 25, 14, 19, 47, 17, 34, 68, 13, 24, 46, 45, 17, 46, 28, 49, 28, 56, 14, 45, 19, 45, 37, 16, 48, 59, 46, 14, 18, 15, 56, 59, 26, 36, 29, 25, 37, 69, 28, 28, 56, 47, 68, 58, 29, 35, 17, 78, 48, 49, 68, 19, 27, 79, 46, 59, 37, 28, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The two bases b < c are encoded as one number (b-1)*10 + (c-1). Similar to A214427 which tabulates the single base for which A214423(n) is palindromic. In the first 1000 terms, the base pairs (2,4), (2,8), (3,9), and (4,8) are most common, occurring 148, 227, 166, and 94 times, respectively. The base pair (2,3) occurs only once. LINKS T. D. Noe and Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe) Attila Bérczes and Volker Ziegler, On simultaneous palindromes, arXiv 1403.0787, Mar 04 2014 Edray Herber Goins, Palindromes in different bases: a conjecture of J. Ernest Wilkins, Integers, Vol. 9 (2009), A55 MATHEMATICA n = -1; t = {}; While[Length[t] < 100, n++; If[Count[c = Table[s = IntegerDigits[n, m]; s == Reverse[s], {m, 2, 10}], True] == 2, d = Flatten[Position[c, True]]; AppendTo[t, 10*d[[1]] + d[[2]]]]]; t CROSSREFS Cf. A214423, A214424, A214427. Sequence in context: A123827 A105796 A226051 * A040156 A296752 A297279 Adjacent sequences: A238335 A238336 A238337 * A238339 A238340 A238341 KEYWORD nonn,base AUTHOR T. D. Noe, Mar 07 2014 STATUS approved

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Last modified September 29 13:05 EDT 2023. Contains 365771 sequences. (Running on oeis4.)