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Search: id:A051798
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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
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OFFSET
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0,2
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REFERENCES
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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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FORMULA
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a(n)=C(n+3, 3)*(9n+4)/4 = (n+1)(n+2)(n+3)(9n+4)/24.
G.f.: (1+8*x)/(1-x)^5.
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CROSSREFS
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Cf. A007586.
Cf. A093644 ((9, 1) Pascal, column m=4).
Sequence in context: A029531 A158485 A005902 this_sequence A061161 A007202 A147384
Adjacent sequences: A051795 A051796 A051797 this_sequence A051799 A051800 A051801
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Dec 11 1999
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