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A140672 n(3n+13)/2. +0
12
0, 8, 19, 33, 50, 70, 93, 119, 148, 180, 215, 253, 294, 338, 385, 435, 488, 544, 603, 665, 730, 798, 869, 943, 1020, 1100, 1183, 1269, 1358, 1450, 1545, 1643, 1744, 1848, 1955, 2065, 2178, 2294, 2413, 2535, 2660, 2788, 2919, 3053 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=(3*n^2 + 13*n)/2.

MAPLE

with(finance):seq(add(cashflows([2, k, n], 0 ), k=3..n), n=2..45); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 2008

MATHEMATICA

s=0; lst={s}; Do[s+=n++ +8; AppendTo[lst, s], {n, 0, 6!, 3}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]

CROSSREFS

Cf. A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140673, A140674, A140675.

The generalized pentagonal numbers b*n+3*n*(n-1)/2, for b = 1 through 12, form sequences A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140672, A140673, A140674, A140675, A151542.

Adjacent sequences: A140669 A140670 A140671 this_sequence A140673 A140674 A140675

Sequence in context: A017485 A146270 A146222 this_sequence A135027 A158916 A045557

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), May 22 2008

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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