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Search: id:A076459
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| A076459 |
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Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly n ways. |
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+0
7
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| 1, 57, 390, 1510, 4335, 10311, 21532, 40860, 72045, 119845, 190146, 290082, 428155, 614355, 860280, 1179256, 1586457, 2099025, 2736190, 3519390, 4472391, 5621407, 6995220, 8625300, 10545925, 12794301, 15410682, 18438490, 21924435
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.
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FORMULA
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1/2*n*(n+1)*(2*n^3+2*n^2-2*n-1). G.f.: x*(1+51*x+63*x^2+5*x^3)/((1+x)*(1-x)^6).
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MAPLE
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seq(1/2*n*(n+1)*(2*n^3+2*n^2-2*n-1), n=1..35);
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CROSSREFS
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Cf. A002417, A076454-A076458.
Sequence in context: A043399 A038482 A097200 this_sequence A027143 A084220 A060891
Adjacent sequences: A076456 A076457 A076458 this_sequence A076460 A076461 A076462
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KEYWORD
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easy,nonn
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 13 2002
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