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A033488 n*(n+1)*(n+2)*(n+3)/6. +0
8
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; listen)
OFFSET

0,2

FORMULA

n*C(3+n, 3). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 10 2006

MAPLE

[seq(4*binomial(n, 4), n=3..35)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 24 2006

a:=n->(sum((numbcomp(n, 4)), j=1..n)):seq(a(n), n=3..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 24 2008]

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]

CROSSREFS

1/beta(n, 4) in A061928.

Cf. A000332, A034827, A050534.

Sequence in context: A127920 A060122 A066970 this_sequence A018211 A135507 A131479

Adjacent sequences: A033485 A033486 A033487 this_sequence A033489 A033490 A033491

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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