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A132124 n * (n + 1) * (8 * n + 1) / 6. 8
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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, Aug 30 2007

LINKS

Table of n, a(n) for n=0..39.

FORMULA

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

a(n) = n*A014105(n)-A016061(n-1), being A016061(n-1) = sum[A014105(k), k=0..n-1] (n>0). Also a(n) = A002412(n)+A006331(n) = A007585(n)+A002378(n) - Bruno Berselli, Nov 25 2010

MAPLE

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

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

CROSSREFS

Cf. A000330, A033994, A132112, A050409.

Cf. A014105, A016061; A002412, A006331; A007585, A002378.

Sequence in context: A154304 A144640 A084069 * A011917 A018691 A225727

Adjacent sequences:  A132121 A132122 A132123 * A132125 A132126 A132127

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 12 2007

STATUS

approved

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Last modified May 30 03:33 EDT 2017. Contains 287305 sequences.