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Search: id:A075669
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| A075669 |
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Sum of next n 8-th powers. |
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+0
1
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| 1, 6817, 2135777, 165588738, 5498750979, 102697107715, 1264908663011, 11373936899396, 79985007371877, 461856872635333, 2269365182729029, 9747136491367430, 37362375267437415, 129917413702762791
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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^n, {i, n(n-1)/2+1, n(n-1)/2+1+n}).
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EXAMPLE
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s=8; a(1) = 1^s = 1; a(2) = 2^8 + 3^8 = 6817; a(3) = 4^8 + 5^8 + 6^8 = 2135777, a(4) = 7^ + 8^8 + 9^8 + 10^8 = 165588738.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=8; 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).
Sequence in context: A121106 A046515 A132215 this_sequence A066878 A114772 A013811
Adjacent sequences: A075666 A075667 A075668 this_sequence A075670 A075671 A075672
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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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