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A147691
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G.f.: x(1+x+x^2)(1+6x+8x^2+4x^3-x^4)/((1+x)^2*(1-x)^4).
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (2,1,-4,1,2,-1,0,0).
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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.
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CROSSREFS
| Sequence in context: A100179 A106598 A014816 * A000441 A067989 A005344
Adjacent sequences: A147688 A147689 A147690 * A147692 A147693 A147694
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KEYWORD
| nonn,easy
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2008
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