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Search: id:A063267
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| 6, 33, 116, 325, 786, 1709, 3424, 6426, 11430, 19437, 31812, 50375, 77506, 116265, 170528, 245140, 346086, 480681, 657780, 888009, 1184018, 1560757, 2035776, 2629550, 3365830, 4272021, 5379588, 6724491, 8347650
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OFFSET
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0,1
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FORMULA
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a(n)= A063265(n+2, 7)= (n+1)*(n+2)*(n+10)*(n^4+22*n^3+193*n^2+792*n+1512)/7!.
G.f.: (2-x)*(1-x+x^2)*(3-3*x+x^2)/(1-x)^8; the numerator polynomial is N7(7, x)= 6-15*x+20*x^2-15*x^3+6*x^4-x^5 from row n=7 of array A063266.
(binomial(n+7,n)-binomial(n+1,n)). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2006
(binomial(n+7,n)+binomial(n+6,n)+binomial(n+5,n)+binomial(n+4,n)+binomial(n+3,n)+binomial(n+2,n) - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2006
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MAPLE
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[seq((binomial(n+7, n)-binomial(n+1, n)), n=1..29)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2006
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CROSSREFS
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A000579 (column k=6 of A063265).
Sequence in context: A073343 A135526 A057818 this_sequence A082106 A073375 A089097
Adjacent sequences: A063264 A063265 A063266 this_sequence A063268 A063269 A063270
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 24 2001
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EXTENSIONS
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More terms from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2006
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