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A080957
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Coefficient of x in a binomial polynomial.
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1
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5, 11, 20, 34, 55, 85, 126, 180, 249, 335, 440, 566, 715, 889, 1090, 1320, 1581, 1875, 2204, 2570, 2975, 3421, 3910, 4444, 5025, 5655, 6336, 7070, 7859, 8705, 9610, 10576, 11605, 12699, 13860, 15090, 16391, 17765, 19214, 20740, 22345, 24031, 25800
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Coefficient of x in the polynomial C(n,0)+C(n+1,1)x+C(n+2,2)x(x-1)/2+C(n+3,3)x(x-1)(x-2)/6
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FORMULA
| a(n)= 3!(C(n+1, 1)-C(n+2, 2)/2+C(n+3, 3)/3)=(2n^3+3n^2+31n+30)/36.
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CROSSREFS
| Cf. A080956.
Sequence in context: A034308 A032527 A026038 * A118375 A099400 A139534
Adjacent sequences: A080954 A080955 A080956 * A080958 A080959 A080960
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 01 2003
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