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1, 42, 1764, 74088, 3111696, 130691232, 5489031744, 230539333248, 9682651996416, 406671383849472, 17080198121677824, 717368321110468608, 30129469486639681536, 1265437718438866624512, 53148384174432398229504
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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 42-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
Tanya Khovanova, Recursive Sequences
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FORMULA
| G.f.: 1/(1-42*x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 24 2008]
a(n)=42^n; a(n)=42*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]
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PROG
| (MAGMA)[42^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]
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CROSSREFS
| Sequence in context: A170761 A158727 A206986 * A041841 A187365 A180371
Adjacent sequences: A009983 A009984 A009985 * A009987 A009988 A009989
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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