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A152767 3 times 10-gonal numbers: 3n(4n-3). +0
1
0, 3, 30, 81, 156, 255, 378, 525, 696, 891, 1110, 1353, 1620, 1911, 2226, 2565, 2928, 3315, 3726, 4161, 4620, 5103, 5610, 6141, 6696, 7275, 7878, 8505, 9156, 9831, 10530, 11253, 12000, 12771, 13566, 14385, 15228, 16095, 16986 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = 12n^2 - 9n = A001107(n)*3.

a(n)=24*n+a(n-1)-45 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]

EXAMPLE

For n=2, a(2)=24*2+0-45=3; n=3, a(3)=24*3+3-45=30; n=4, a(4)=24*4+30-45=81 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]

MATHEMATICA

s=0; lst={s}; Do[s+=n; AppendTo[lst, s], {n, 3, 6!, 24}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 02 2009]

CROSSREFS

Cf. A001107, A139271.

Sequence in context: A132084 A012009 A001800 this_sequence A035328 A100259 A031205

Adjacent sequences: A152764 A152765 A152766 this_sequence A152768 A152769 A152770

KEYWORD

easy,nonn,new

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Dec 15 2008

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.


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