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A147691 G.f.: x(1+x+x^2)(1+6x+8x^2+4x^3-x^4)/((1+x)^2*(1-x)^4). +0
1
0, 1, 9, 34, 91, 192, 353, 584, 903, 1318, 1849, 2502, 3299, 4244, 5361, 6652, 8143, 9834, 11753, 13898, 16299, 18952, 21889, 25104, 28631, 32462, 36633, 41134, 46003, 51228, 56849, 62852, 69279, 76114, 83401, 91122, 99323, 107984, 117153, 126808 (list; graph; listen)
OFFSET

0,3

COMMENT

The inverse Motzkin transform of A057586, which means that the substitution x->x*A001006(x) for the independent variable in the g.f. yields the g.f. of A057586.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

FORMULA

a(n) = 2*a(n-1) +a(n-2) -4*a(n-3) +a(n-4) +2*a(n-5) -a(n-6), n> 7.

CROSSREFS

Sequence in context: A100179 A106598 A014816 this_sequence A000441 A067989 A002881

Adjacent sequences: A147688 A147689 A147690 this_sequence A147692 A147693 A147694

KEYWORD

nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2008

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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