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A033488
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n*(n+1)*(n+2)*(n+3)/6.
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9
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0, 4, 20, 60, 140, 280, 504, 840, 1320, 1980, 2860, 4004, 5460, 7280, 9520, 12240, 15504, 19380, 23940, 29260, 35420, 42504, 50600, 59800, 70200, 81900, 95004, 109620, 125860, 143840, 163680, 185504, 209440
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..700
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FORMULA
| n*C(3+n, 3). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 10 2006
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MAPLE
| [seq(4*binomial(n, 4), n=3..35)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 24 2006
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MATHEMATICA
| f[n_]:=n*(n+1)*(n+2)*(n+3)/6; lst={}; Do[AppendTo[lst, f[n]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 21 2009]
# Binomial[#+3, 3]&/@ Range[0, 40] (* From Harvey P. Dale, Feb 20 2011 *)
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PROG
| (MAGMA) [n*(n+1)*(n+2)*(n+3)/6: n in [0..40]]; // Vincenzo Librandi, Apr 28 2011
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CROSSREFS
| 1/beta(n, 4) in A061928.
Cf. A000332, A034827, A050534.
Sequence in context: A196295 A196213 A196680 * A018211 A135507 A197404
Adjacent sequences: A033485 A033486 A033487 * A033489 A033490 A033491
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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