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A051798
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(n+1)*(n+2)*(n+3)*(9n+4)/24 .
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4
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1, 13, 55, 155, 350, 686, 1218, 2010, 3135, 4675, 6721, 9373, 12740, 16940, 22100, 28356, 35853, 44745, 55195, 67375, 81466, 97658, 116150, 137150, 160875, 187551, 217413, 250705, 287680, 328600, 373736, 423368, 477785, 537285
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums of A007586.
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REFERENCES
| A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
Murray R. Spiegel,Calculus of Finite Differences and Difference Equations,"Schaum's Outline Series",McGraw-Hill,1971, pps 10-20,79-94.
Herbert John Ryser, Combinatorial Mathematics, "The Carus Mathematical Monographs", No. 14, John Wiley and Sons, 1963, pps. 1-8.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
| a(n)=C(n+3, 3)*(9n+4)/4 .
G.f.: (1+8*x)/(1-x)^5.
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CROSSREFS
| Cf. A007586.
Cf. A093644 ((9, 1) Pascal, column m=4).
Sequence in context: A029531 A158485 A005902 * A206372 A061161 A007202
Adjacent sequences: A051795 A051796 A051797 * A051799 A051800 A051801
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Dec 11 1999
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