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Search: id:A075667
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| A075667 |
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Sum of next n 6th powers. |
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+0
1
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| 1, 793, 66377, 1911234, 28504515, 271739011, 1874885963, 10136389172, 45311985069, 173957200405, 589679082421, 1802148522758, 5045944649967, 13108508706879, 31915866810295, 73427944186856, 160710828298553
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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=6; a(1) = 1^s = 1; a(2) = 2^s + 3^s = 2^6 + 3^6 = 793; a(3) = 4^s + 5^s + 6^s = 66377, a(4) = 7^s + 8^s + 9^s + 10^3 = 1911234.
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MATHEMATICA
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i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; s=6; 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: A095812 A130555 A133537 this_sequence A136543 A133274 A086393
Adjacent sequences: A075664 A075665 A075666 this_sequence A075668 A075669 A075670
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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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