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A017820
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Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7).
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0
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1, 0, 0, 1, 1, 1, 2, 3, 3, 5, 8, 10, 14, 21, 29, 40, 58, 82, 114, 162, 230, 323, 456, 646, 911, 1285, 1817, 2566, 3621, 5115, 7225, 10200, 14404, 20344, 28727, 40565, 57288, 80900, 114240, 161328, 227824, 321720
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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LINKS
| Vladimir Kruchinin, Compositae and their properties , arXiv:1103.2582
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FORMULA
| a(n):=sum(sum(binomial(k,r)*sum(binomial(r,m)*sum(binomial(m,j)*binomial(j,n-m-3*k-j-r),j,0,m),m,0,r),r,0,k),k,1,n), n>0. [From Kruchinin Vladimir (kru(AT)ie.tusur.ru), Aug 30 2010]
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PROG
| (Other) a(n):=sum(sum(binomial(k, r)*sum(binomial(r, m)*sum(binomial(m, j)*binomial(j, n-m-3*k-j-r), j, 0, m), m, 0, r), r, 0, k), k, 1, n); (for Maxima) [From Kruchinin Vladimir (kru(AT)ie.tusur.ru), Aug 30 2010]
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CROSSREFS
| Sequence in context: A154690 A046937 A069831 * A129577 A107854 A118808
Adjacent sequences: A017817 A017818 A017819 * A017821 A017822 A017823
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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