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A132124 n * (n + 1) * (8 * n + 1) / 6. +0
6
0, 3, 17, 50, 110, 205, 343, 532, 780, 1095, 1485, 1958, 2522, 3185, 3955, 4840, 5848, 6987, 8265, 9690, 11270, 13013, 14927, 17020, 19300, 21775, 24453, 27342, 30450, 33785, 37355, 41168, 45232, 49555, 54145, 59010, 64158, 69597, 75335, 81380 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) = A132121(n,2) for n>1.

Convolution of the sequences (0,3,5,0,0,0,...) and (binom(n+3,3)), n>=0. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 30 2007

FORMULA

G.f.=x(3+5x)/(1-x)^4. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 30 2007

MAPLE

seq((1/6)*n*(n+1)*(8*n+1), n=0..40); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 30 2007

with(finance):seq(add(cashflows([n*k, k^2, 0], 1)*4, k=0..n), n=0..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008

CROSSREFS

Cf. A000330, A033994, A132112, A050409.

Sequence in context: A154304 A144640 A084069 this_sequence A011917 A018691 A163943

Adjacent sequences: A132121 A132122 A132123 this_sequence A132125 A132126 A132127

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 12 2007

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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