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A009966 Powers of 22. 4
1, 22, 484, 10648, 234256, 5153632, 113379904, 2494357888, 54875873536, 1207269217792, 26559922791424, 584318301411328, 12855002631049216, 282810057883082752, 6221821273427820544, 136880068015412051968, 3011361496339065143296, 66249952919459433152512, 1457498964228107529355264, 32064977213018365645815808, 705429498686404044207947776 (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 22-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 (22).

FORMULA

G.f.: 1/(1-22*x). - Philippe Deléham, Nov 23 2008

a(n)=22^n; a(n)=22*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

PROG

(Sage) [lucas_number1(n, 22, 0) for n in xrange(1, 17)]# - Zerinvary Lajos, Apr 29 2009

(MAGMA)[22^n: n in [0..100]][From Vincenzo Librandi, Nov 21 2010]

(PARI) a(n)=22^n \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Sequence in context: A223784 A223970 A171296 * A041221 A041926 A230350

Adjacent sequences:  A009963 A009964 A009965 * A009967 A009968 A009969

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 25 21:38 EDT 2017. Contains 284111 sequences.