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 A087752 Powers of 49. 9
 1, 49, 2401, 117649, 5764801, 282475249, 13841287201, 678223072849, 33232930569601, 1628413597910449, 79792266297612001, 3909821048582988049, 191581231380566414401, 9387480337647754305649, 459986536544739960976801 (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  49-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 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 (49). FORMULA G.f.: 1/(1-49*x). - Philippe Deléham, Nov 24 2008 a(n)=49^n; a(n)=49*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010 PROG (MAGMA) [49^n: n in [0..20]]; // Vincenzo Librandi, Nov 21 2010 (Maxima) makelist(49^n, n, 0, 20); /* Martin Ettl, Nov 12 2012 */ (PARI) a(n)=49^n \\ M. F. Hasler, Apr 19 2015 CROSSREFS Cf. A001018 (powers of 8), ..., A001029 (powers of 19), A009964 (powers of 20), ..., A009992 (powers of 48). Sequence in context: A170768 A218751 A120999 * A069741 A203384 A099367 Adjacent sequences:  A087749 A087750 A087751 * A087753 A087754 A087755 KEYWORD easy,nonn AUTHOR Douglas Winston (douglas.winston(AT)srupc.com), Oct 02 2003 EXTENSIONS Edited by M. F. Hasler, Apr 19 2015 STATUS approved

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Last modified October 23 10:01 EDT 2018. Contains 316525 sequences. (Running on oeis4.)