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A107351
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Expansion of (1+x^3)/((1-x)^3*(1-x^2)^3*(1-x^3)).
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0
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1, 3, 9, 21, 45, 87, 159, 273, 450, 712, 1092, 1626, 2364, 3360, 4686, 6420, 8661, 11517, 15121, 19617, 25179, 31995, 40287, 50295, 62298, 76596, 93534, 113482, 136860, 164118, 195762, 232332, 274431, 322701, 377853, 440643, 511903, 592515, 683445, 785715
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OFFSET
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0,2
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REFERENCES
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Y. Teranishi, Linear Diophantine equations and invariant theory of matrices, in Commutative algebra and combinatorics (Kyoto, 1985), pp. 259-275, Adv. Stud. Pure Math., 11, North-Holland, Amsterdam, 1987.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (4,-4,-3,6,0,0,-6,3,4,-4,1).
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FORMULA
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G.f.: ( -1+x-x^2 ) / ( (1+x+x^2)*(1+x)^2*(x-1)^7 ). - R. J. Mathar, Dec 18 2014
81*a(n) = 2*A099837(n+3) +(134946*n +22680*n^3 +77688*n^2 +3690*n^4 +324*n^5 +12*n^6 +87625)/1280 +(-1)^n*243 *(9+2*n)/256 . - R. J. Mathar, Dec 17 2017
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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