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 A009985 Powers of 41. 10
 1, 41, 1681, 68921, 2825761, 115856201, 4750104241, 194754273881, 7984925229121, 327381934393961, 13422659310152401, 550329031716248441, 22563490300366186081, 925103102315013629321, 37929227194915558802161 (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 41-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 Numbers n such that sigma(41*n) = 41*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 (41). FORMULA G.f.: 1/(1-41*x).  - Philippe Deléham, Nov 24 2008 a(n) = 41^n; a(n) = 41*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010 MATHEMATICA 41^Range[0, 14] (* Alonso del Arte, Sep 04 2015 *) NestList[41#&, 1, 20] (* Harvey P. Dale, Mar 07 2017 *) PROG (MAGMA)[41^n: n in [0..20]]; // Vincenzo Librandi, Nov 21 2010 (PARI) first(m)=vector(m, i, i--; 41^i) \\ Anders Hellström, Sep 12 2015 CROSSREFS Sequence in context: A170722 A170760 A218743 * A147521 A233070 A267267 Adjacent sequences:  A009982 A009983 A009984 * A009986 A009987 A009988 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 23 07:11 EDT 2019. Contains 328336 sequences. (Running on oeis4.)