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A059721
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Mean of first six positive powers of n, i.e. (n+n^2+n^3+n^4+n^5+n^6)/6.
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6
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0, 1, 21, 182, 910, 3255, 9331, 22876, 49932, 99645, 185185, 324786, 542906, 871507, 1351455, 2034040, 2982616, 4274361, 6002157, 8276590, 11228070, 15009071, 19796491, 25794132, 33235300, 42385525, 53545401, 67053546
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
| a(n) =(n^7-n)/(6n-6) =A053700(n)*n/6
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EXAMPLE
| a(2)=(2+4+8+16+32+64)/6=126/6=21
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MATHEMATICA
| Table[Total[n^Range[6]]/6, {n, 0, 30}] [From Harvey P. Dale, Jan. 29, 2011]
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PROG
| (PARI) { for (n=0, 1000, if (n==1, a=1, a=(n^7 - n)/(6*n - 6)); write("b059721.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
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CROSSREFS
| Cf. A059722, A059723.
Sequence in context: A090021 A025604 A062159 * A054370 A010827 A022713
Adjacent sequences: A059718 A059719 A059720 * A059722 A059723 A059724
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Feb 07 2001
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