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Search: id:A000542
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| A000542 |
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Sum of 8th powers: 1^8 + 2^8 + ... + n^8.
(Formerly M5427 N2358)
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+0
4
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| 0, 1, 257, 6818, 72354, 462979, 2142595, 7907396, 24684612, 67731333, 167731333, 382090214, 812071910, 1627802631, 3103591687, 5666482312, 9961449608, 16937207049, 27957167625, 44940730666, 70540730666, 108363590027, 163239463563, 241550448844
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 815.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 155.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
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FORMULA
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a(n) = n*(n+1)*(2*n+1)*(5*n^6+15*n^5+5*n^4-15*n^3-n^2+9*n-3)/90.
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=a[n-1]+n^8 od: seq(a[n], n=0..23); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 22 2008
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MATHEMATICA
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lst={}; s=0; Do[s=s+n^8; AppendTo[lst, s], {n, 10^2}]; lst..or..Table[Sum[k^8, {k, 1, n}], {n, 0, 100}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 14 2008]
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CROSSREFS
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Row 8 of array A103438.
Adjacent sequences: A000539 A000540 A000541 this_sequence A000543 A000544 A000545
Sequence in context: A017679 A013956 A036086 this_sequence A023877 A086022 A125649
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KEYWORD
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nonn
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AUTHOR
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njas
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