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A060099
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G.f.: 1/((1-x^2)^3*(1-x)^4).
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2
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1, 4, 13, 32, 71, 140, 259, 448, 742, 1176, 1806, 2688, 3906, 5544, 7722, 10560, 14223, 18876, 24739, 32032, 41041, 52052, 65429, 81536, 100828, 123760, 150892, 182784, 220116, 263568, 313956, 372096
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Fourth column (m=3) of triangle A060098.
Partial sums of A038163.
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 11 2009: (Start)
Equals the tetrahedral numbers, [1, 4, 10, 20,...] convolved with the aerated
triangular numbers, [1, 0, 3, 0, 6, 0, 10,...]. (End)
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REFERENCES
| B. Broer, Hilbert series for modules of covariants, in Algebraic Groups and Their Generalizations..., Proc. Sympos. Pure Math., 56 (1994), Part I, 321-331. See p. 329.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
| a(n) = sum(A060098(n+3, 3)); also g.f. = 1/((1-x)^7*(1+x)^3).
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CROSSREFS
| Cf. A002620, A002624, A096338.
Sequence in context: A011936 A037235 A051912 * A173277 A036420 A054039
Adjacent sequences: A060096 A060097 A060098 * A060100 A060101 A060102
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 06 2001
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