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A069876
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a(1) = 1, a(2) = 2^2 + 3^2; a(n) = (k-n+1)^n + (k-n)^n + ....(k-1)^n + k^n, where k = n(n+1)/2.
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1
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1, 13, 405, 23058, 2078375, 271739011, 48574262275, 11373936899396, 3377498614484589, 1240006139651007925, 551449374186192949841, 292093390490112799117190, 181694111127303339553250275
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Sum of next n n-th powers.
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EXAMPLE
| a(1) = 1^1 = 1; a(2) = 2^2 + 3^2 = 13; a(3) = 4^3 + 5^3 + 6^3 = 405, a(4) = 7^4 + 8^4 + 9^4 + 10^4 = 23058.
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MATHEMATICA
| i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; Table[Sum[i^n, {i, i1, i2}], {n, 20}]
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CROSSREFS
| Cf. A072474 (s=2), A075664 - A075670 (s=3-10), A075671 (s=n).
Sequence in context: A171196 A162446 A075672 * A126086 A055203 A088919
Adjacent sequences: A069873 A069874 A069875 * A069877 A069878 A069879
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2002
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org) and Zak Seidov (zakseidov(AT)yahoo.com), Sep 24 2002
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