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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 April 26 03:45 EDT 2017. Contains 285426 sequences.