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Search: id:A075666
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| A075666 |
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Sum of next n 5th powers. |
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+0
1
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| 1, 275, 11925, 208624, 2078375, 14118201, 72758875, 304553600, 1084203549, 3390961375, 9540835601, 24582546000, 58801331875, 131987718149, 280410672375, 567799960576, 1102105900025, 2060382328875, 3724847929549
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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=5; a(1) = 1^s = 1; a(2) = 2^s + 3^s = 2^5 + 3^5 = 275; a(3) = 4^s + 5^s + 6^s = 11925, a(4) = 7^s + 8^s + 9^s + 10^3 = 208624.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=5; 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: A028533 A130292 A133536 this_sequence A121743 A084802 A003903
Adjacent sequences: A075663 A075664 A075665 this_sequence A075667 A075668 A075669
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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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