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1, 28, 784, 21952, 614656, 17210368, 481890304, 13492928512, 377801998336, 10578455953408, 296196766695424, 8293509467471872, 232218265089212416, 6502111422497947648, 182059119829942534144, 5097655355238390956032
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OFFSET
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0,2
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COMMENTS
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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 28-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011
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LINKS
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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 (28).
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FORMULA
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G.f.: 1/(1-28*x). - Philippe Deléham, Nov 24 2008
a(n) = 28^n; a(n) = 28*a(n-1), n > 0, a(0) = 1. - Vincenzo Librandi, Nov 21 2010
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MATHEMATICA
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28^Range[0, 13] (* Alonso del Arte, Feb 28 2015 *)
NestList[28#&, 1, 20] (* Harvey P. Dale, Jan 19 2019 *)
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PROG
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(Sage) [lucas_number1(n, 28, 0) for n in range(1, 17)] # Zerinvary Lajos, Apr 29 2009
(MAGMA) [28^n: n in [0..100]] // Vincenzo Librandi, Nov 21 2010
(PARI) a(n)=28^n \\ Charles R Greathouse IV, Sep 28 2015
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CROSSREFS
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Sequence in context: A189775 A189157 A267732 * A114037 A041365 A042514
Adjacent sequences: A009969 A009970 A009971 * A009973 A009974 A009975
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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