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 A259375 Palindromic numbers in bases 3 and 6 written in base 10. 16
 0, 1, 2, 4, 28, 80, 160, 203, 560, 644, 910, 34216, 34972, 74647, 87763, 122420, 221068, 225064, 6731644, 6877120, 6927700, 7723642, 8128762, 8271430, 77894071, 78526951, 539212009, 28476193256, 200267707484, 200316968444, 201509576804, 201669082004, 231852949304, 232018753064, 232039258376, 333349186006, 2947903946317, 5816975658914, 5817003372578, 11610051837124, 27950430282103, 81041908142188 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Agrees with the number of minimal dominating sets of the halved cube graph Q_n/2 for at least n=1 to 5. - Eric W. Weisstein, Sep 06 2021 LINKS Giovanni Resta, Table of n, a(n) for n = 1..64 FORMULA Intersection of A014190 and A029953. EXAMPLE 28 is in the sequence because 28_10 = 44_6 = 1001_3. MATHEMATICA (* first load nthPalindromeBase from A002113 *) palQ[n_Integer, base_Integer] := Block[{}, Reverse[ idn = IntegerDigits[n, base]] == idn]; k = 0; lst = {}; While[k < 21000000, pp = nthPalindromeBase[k, 6]; If[palQ[pp, 3], AppendTo[lst, pp]; Print[pp]]; k++]; lst b1=3; b2=6; lst={}; Do[d1=IntegerDigits[n, b1]; d2=IntegerDigits[n, b2]; If[d1==Reverse[d1]&&d2==Reverse[d2], AppendTo[lst, n]], {n, 0, 10000000}]; lst (* Vincenzo Librandi, Jul 15 2015 *) CROSSREFS Cf. A048268, A060792, A097856, A097928, A182232, A259374, A097929, A182233, A259375, A259376, A097930, A182234, A259377, A259378, A249156, A097931, A259380, A259381, A259382, A259383, A259384, A099145, A259385, A259386, A259387, A259388, A259389, A259390, A099146, A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, A029966, A029967, A029968, A029969, A029970, A029731, A097855, A250408, A250409, A250410, A250411, A099165, A250412. Sequence in context: A066228 A110881 A156449 * A192374 A274526 A264667 Adjacent sequences: A259372 A259373 A259374 * A259376 A259377 A259378 KEYWORD nonn,base AUTHOR Eric A. Schmidt and Robert G. Wilson v, Jul 14 2015 STATUS approved

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Last modified September 22 11:05 EDT 2023. Contains 365520 sequences. (Running on oeis4.)