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A014205
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(1/12)*(n+5)*(n+1)*n^2.
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2
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0, 1, 7, 24, 60, 125, 231, 392, 624, 945, 1375, 1936, 2652, 3549, 4655, 6000, 7616, 9537, 11799, 14440, 17500, 21021, 25047, 29624, 34800, 40625, 47151, 54432, 62524, 71485, 81375, 92256, 104192, 117249
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=2*C(n+4,4)-C(n+2,2), n=-1..32); # - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 02 2007
G.f.:x*(x^2-2*x-1)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
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MAPLE
| seq(2*binomial(n+4, 4)-binomial(n+2, 2), n=-1..32); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 02 2007
with(finance):seq(add(cashflows([n^2, k^3, 0], 0 )/3, k=0..n), n=0..45); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]
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CROSSREFS
| Sequence in context: A024205 A008779 A062449 * A029585 A002969 A114291
Adjacent sequences: A014202 A014203 A014204 * A014206 A014207 A014208
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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