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 A029730 Numbers that are palindromic in base 16. 10
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 257, 273, 289, 305, 321, 337, 353, 369, 385, 401, 417, 433, 449, 465, 481, 497, 514, 530, 546, 562, 578, 594, 610, 626, 642 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Patrick De Geest, Palindromic numbers beyond base 10. Phakhinkon Phunphayap and Prapanpong Pongsriiam, Estimates for the Reciprocal Sum of b-adic Palindromes, 2019. Eric Weisstein's World of Mathematics, Palindromic Number. Eric Weisstein's World of Mathematics, Hexadecimal. Wikipedia, Palindromic number. Wikipedia, Hexadecimal. Index entries for sequences related to palindromes FORMULA Sum_{n>=2} 1/a(n) = 3.71109616... (Phunphayap and Pongsriiam, 2019). - Amiram Eldar, Oct 17 2020 EXAMPLE 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 11, 22, 33, 44, 55, 66, 77, 88, 99, AA, BB, CC, DD, EE, FF, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191,1A1, 1B1, 1C1, 1D1, 1E1, 1F1, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 2A2, 2B2, 2C2, 2D2, 2E2, 2F2, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 3A3, 3B3, 3C3, 3D3, 3E3, 3F3, 404, ... - Reinhard Zumkeller, Sep 23 2015 MATHEMATICA palindromicQ[n_, b_] := Module[{i = IntegerDigits[n, b]}, i == Reverse[i]]; Select[Range[1000], palindromicQ[#, 16] &] (* Vladimir Joseph Stephan Orlovsky, Jul 08 2009 *) PROG (Haskell) a029730 n = a029730_list !! (n-1) a029730_list = map (foldr (\h v -> 16 * v + h) 0) \$ filter (\xs -> xs == reverse xs) a262437_tabf -- Reinhard Zumkeller, Sep 23 2015 (PARI) isok(n) = my(v=digits(n, 16)); v == Vecrev(v); \\ Michel Marcus, Sep 30 2018 CROSSREFS Cf. A029731 (also palindromic in decimal), A056962, A262437. Sequence in context: A048313 A043719 A296759 * A297289 A048327 A048340 Adjacent sequences: A029727 A029728 A029729 * A029731 A029732 A029733 KEYWORD nonn,base AUTHOR Patrick De Geest STATUS approved

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Last modified April 13 17:26 EDT 2024. Contains 371644 sequences. (Running on oeis4.)