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Search: id:A075670
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| A075670 |
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Sum of next n 9-th powers. |
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+0
9
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| 1, 20195, 12292965, 1561991824, 77226633575, 2014634387961, 33098483802475, 383318212734080, 3377498614484589, 23898971839102975, 141290020118952881, 719054471032657200, 3223613105991831475, 12964037775857022869
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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}).
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EXAMPLE
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s=9; a(1) = 1^s = 1; a(2) = 2^s + 3^s = 2^9 + 3^9 = 20195; a(3) = 4^s + 5^s + 6^s = 12292965, a(4) = 7^s + 8^s + 9^s + 10^3 = 1561991824.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=9; 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).
Cf. A006003, A072474, A075664 - A075671.
Sequence in context: A114613 A052358 A052189 this_sequence A053073 A133527 A031825
Adjacent sequences: A075667 A075668 A075669 this_sequence A075671 A075672 A075673
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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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