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 A009967 Powers of 23. 24
 1, 23, 529, 12167, 279841, 6436343, 148035889, 3404825447, 78310985281, 1801152661463, 41426511213649, 952809757913927, 21914624432020321, 504036361936467383, 11592836324538749809, 266635235464391245607, 6132610415680998648961, 141050039560662968926103, 3244150909895248285300369, 74615470927590710561908487, 1716155831334586342923895201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The compositions of n in which each natural number is colored by one of p different colors are called p-colored compositions of n. For n>=1, a(n) equals the number of 23-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 Numbers n such that sigma(23*n) = 23*n + sigma(n). - Jahangeer Kholdi, Nov 23 2013 LINKS T. D. Noe, Table of n, a(n) for n = 0..100 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (23). FORMULA G.f.: 1/(1-23*x). - Philippe Deléham, Nov 23 2008 a(n)=23^n; a(n)=23*a(n-1) n>0 a(0)=1. - Vincenzo Librandi, Nov 21 2010 MATHEMATICA 23^Range[0, 20]  (* Harvey P. Dale, Apr 04 2011 *) PROG (Sage) [lucas_number1(n, 23, 0) for n in xrange(1, 17)]# - Zerinvary Lajos, Apr 29 2009 (MAGMA)[23^n: n in [0..100]] // Vincenzo Librandi, Nov 21 2010 (Maxima) A009967(n):=23^n\$ makelist(A009967(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */ (PARI) a(n)=23^n \\ Charles R Greathouse IV, Sep 24 2015 CROSSREFS Sequence in context: A207223 A207010 A171297 * A147642 A057686 A042014 Adjacent sequences:  A009964 A009965 A009966 * A009968 A009969 A009970 KEYWORD nonn,easy AUTHOR STATUS approved

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