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Search: id:A075665
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| A075665 |
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Sum of next n 4th powers. i^s, s = 4. |
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+0
1
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| 1, 97, 2177, 23058, 152979, 738835, 2839571, 9191876, 26037717, 66301333, 154762069, 336050870, 686502375, 1331121351, 2467171687, 4396168328, 7566347369, 12628007049, 20504452585, 32481640666
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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=4; a(1) = 1^s = 1; a(2) = 2^s + 3^s = 2^4+3^4 = 97; a(3) = 4^s + 5^s + 6^s = 2177, a(4) = 7^s + 8^s + 9^s + 10^3 = 23058.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=4; 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: A038532 A092272 A020538 this_sequence A012839 A017813 A017760
Adjacent sequences: A075662 A075663 A075664 this_sequence A075666 A075667 A075668
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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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