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Search: id:A075671
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| A075671 |
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Sum of next n 10-th powers. |
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+0
9
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| 1, 60073, 71280377, 14843001474, 1091618326275, 39736919990851, 870012241054523, 12967387960026452, 143075291905145949, 1240006139651007925, 8817026830146599701, 53151169903167142598
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OFFSET
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1,2
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FORMULA
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a(1)=1; a(n)=sum(i^s, {i, n(n-1)/2+1, n(n-1)/2+1+n}).
a(n) = n/33792*(33*n^20 + 825*n^18 + 6336*n^16 + 18546*n^14 + 14289*n^12 - 14187*n^10 - 418*n^8 + 20592*n^6 - 10560*n^4 - 4224*n^2 + 2560). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Oct 03 2003
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EXAMPLE
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s=10; a(1) = 1^s = 1; a(2) = 2^s + 3^s = 2^10 + 3^10 = 60073; a(3) = 4^s + 5^s + 6^s = 71280377, a(4) = 7^s + 8^s + 9^s + 10^3 = 14843001474.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=10; Table[Sum[i^s, {i, i1, i2}], {n, 20}]
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CROSSREFS
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Cf. A072474 (s=2), A075664 - A075670 (s=3-10), A075671 (s=n).
Adjacent sequences: A075668 A075669 A075670 this_sequence A075672 A075673 A075674
Sequence in context: A135325 A043635 A106774 this_sequence A112015 A128879 A089009
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 24 2002
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