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A027659
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Binomial(n+2,2)+binomial(n+3,3)+binomial(n+4,4)+binomial(n+5,5).
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3
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4, 18, 52, 121, 246, 455, 784, 1278, 1992, 2992, 4356, 6175, 8554, 11613, 15488, 20332, 26316, 33630, 42484, 53109, 65758, 80707, 98256, 118730, 142480, 169884, 201348, 237307, 278226, 324601
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| G.f.: (x^2)*(2-x)*(2-2*x+x^2)/(1-x)^6. (For numerator polynomial see N5(5, x)= 4-6*x+4*x^2-x^3 from A063422.)
C(5+n,5)-C(1+n,1) - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2006
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MAPLE
| 1/120*(n+8)*(n+2)*(n+1)*(n^2+9*n+30);
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CROSSREFS
| a(n)= A035343(n+2, 5), n >= 0 (sixth column of quintinomial coefficients).
a(n)= A062750(n+2, 5), n >= 0 (sixth column).
Sequence in context: A180805 A120656 A092349 * A059133 A020644 A181411
Adjacent sequences: A027656 A027657 A027658 * A027660 A027661 A027662
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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