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 A262065 Numbers that are palindromes in base-60 representation. 5
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 122, 183, 244, 305, 366 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Palindromic Number Eric Weisstein's World of Mathematics, Sexagesimal Wikipedia, Palindromic number Wikipedia, Sexagesimal EXAMPLE .      n | a(n) |  base 60          n |  a(n) |  base 60 .   -----+------+-----------    ------+-------+-------------- .    100 | 2440 | [40, 40]       1000 | 56355 | [15, 39, 15] .    101 | 2501 | [41, 41]       1001 | 56415 | [15, 40, 15] .    102 | 2562 | [42, 42]       1002 | 56475 | [15, 41, 15] .    103 | 2623 | [43, 43]       1003 | 56535 | [15, 42, 15] .    104 | 2684 | [44, 44]       1004 | 56595 | [15, 43, 15] .    105 | 2745 | [45, 45]       1005 | 56655 | [15, 44, 15] .    106 | 2806 | [46, 46]       1006 | 56715 | [15, 45, 15] .    107 | 2867 | [47, 47]       1007 | 56775 | [15, 46, 15] .    108 | 2928 | [48, 48]       1008 | 56835 | [15, 47, 15] .    109 | 2989 | [49, 49]       1009 | 56895 | [15, 48, 15] .    110 | 3050 | [50, 50]       1010 | 56955 | [15, 49, 15] .    111 | 3111 | [51, 51]       1011 | 57015 | [15, 50, 15] .    112 | 3172 | [52, 52]       1012 | 57075 | [15, 51, 15] .    113 | 3233 | [53, 53]       1013 | 57135 | [15, 52, 15] .    114 | 3294 | [54, 54]       1014 | 57195 | [15, 53, 15] .    115 | 3355 | [55, 55]       1015 | 57255 | [15, 54, 15] .    116 | 3416 | [56, 56]       1016 | 57315 | [15, 55, 15] .    117 | 3477 | [57, 57]       1017 | 57375 | [15, 56, 15] .    118 | 3538 | [58, 58]       1018 | 57435 | [15, 57, 15] .    119 | 3599 | [59, 59]       1019 | 57495 | [15, 58, 15] .    120 | 3601 | [1, 0, 1]      1020 | 57555 | [15, 59, 15] .    121 | 3660 | [1, 1, 0]      1021 | 57616 | [16, 0, 16] .    122 | 3661 | [1, 1, 1]      1022 | 57676 | [16, 1, 16] .    123 | 3721 | [1, 2, 1]      1023 | 57736 | [16, 2, 16] .    124 | 3781 | [1, 3, 1]      1024 | 57796 | [16, 3, 16] .    125 | 3841 | [1, 4, 1]      1025 | 57856 | [16, 4, 16]  . MATHEMATICA f[n_, b_]:=Module[{i=IntegerDigits[n, b]}, i==Reverse[i]]; lst={}; Do[If[f[n, 60], AppendTo[lst, n]], {n, 400}]; lst (* Vincenzo Librandi, Aug 24 2016 *) pal60Q[n_]:=Module[{idn60=IntegerDigits[n, 60]}, idn60==Reverse[idn60]]; Select[Range[0, 400], pal60Q] (* Harvey P. Dale, Nov 04 2017 *) PROG (Haskell) import Data.List.Ordered (union) a262065 n = a262065_list !! (n-1) a262065_list = union us vs where    us = [val60 \$ bs ++ reverse bs | bs <- bss]    vs = [0..59] ++ [val60 \$ bs ++ cs ++ reverse bs |           bs <- tail bss, cs <- take 60 bss]    bss = iterate s [0] where          s [] = [1]; s (59:ds) = 0 : s ds; s (d:ds) = (d + 1) : ds    val60 = foldr (\b v -> 60 * v + b) 0 (MAGMA) [n: n in [0..600] | Intseq(n, 60) eq Reverse(Intseq(n, 60))]; // Vincenzo Librandi, Aug 24 2016 CROSSREFS Cf. A262079 (first differences). Intersection with A002113: A262069. Corresponding sequences for bases 2 through 12: A006995, A014190, A014192, A029952, A029953, A029954, A029803, A029955, A002113, A029956, A029957. Sequence in context: A227981 A085736 A265711 * A296765 A055643 A122079 Adjacent sequences:  A262062 A262063 A262064 * A262066 A262067 A262068 KEYWORD nonn,base,look AUTHOR Reinhard Zumkeller, Sep 10 2015 STATUS approved

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Last modified May 17 21:11 EDT 2021. Contains 343990 sequences. (Running on oeis4.)