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A134159
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a(n) = 13 + 165*n + 756*n^2 + 1470*n^3 + 1029*n^4.
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6
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13, 3433, 31591, 130351, 370273, 846613, 1679323, 3013051, 5017141, 7885633, 11837263, 17115463, 23988361, 32748781, 43714243, 57226963, 73653853, 93386521, 116841271, 144459103, 176705713, 214071493, 257071531, 306245611
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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a(n) = (3*(7*n + 2)^4 + 6*(7*n + 2)^3 - 3*(7*n + 2) + 1)/7.
a(n) = (Sum_{k=1..7n+2} k^6) / (Sum_{k=1..7n+2} k^2).
G.f.: -(13+3368*x+14556*x^2+6596*x^3+163*x^4)/(-1+x)^5. - R. J. Mathar, Nov 14 2007
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MATHEMATICA
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Table[(3(7n + 2)^4 + 6(7n + 2)^3 - 3 (7n + 2) + 1)/7, {n, 0, 100}]
Table[Sum[k^6, {k, 1, 7n + 2}]/Sum[k^2, {k, 1, 7n + 2}], {n, 0, 100}] (* Artur Jasinski *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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