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A140675 n(3n+19)/2. +0
12
0, 11, 25, 42, 62, 85, 111, 140, 172, 207, 245, 286, 330, 377, 427, 480, 536, 595, 657, 722, 790, 861, 935, 1012, 1092, 1175, 1261, 1350, 1442, 1537, 1635, 1736, 1840, 1947, 2057, 2170, 2286, 2405, 2527, 2652, 2780, 2911, 3045, 3182 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=(3*n^2 + 19*n)/2.

MATHEMATICA

s=0; lst={s}; Do[s+=n++ +11; AppendTo[lst, s], {n, 0, 7!, 3}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 19 2008]

Table[Sum[i + n - 3, {i, 7, n}], {n, 6, 52}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]

CROSSREFS

Cf. A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140672, A140673, A140674.

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: A140672 A140673 A140674 this_sequence A140676 A140677 A140678

Sequence in context: A084547 A125868 A031025 this_sequence A161532 A118648 A105270

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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