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A140679 n*(3*n+14). 6
0, 17, 40, 69, 104, 145, 192, 245, 304, 369, 440, 517, 600, 689, 784, 885, 992, 1105, 1224, 1349, 1480, 1617, 1760, 1909, 2064, 2225, 2392, 2565, 2744, 2929, 3120, 3317, 3520, 3729, 3944, 4165, 4392, 4625, 4864, 5109, 5360, 5617 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=3*n^2 + 14*n.

a(n)=6*n+a(n-1)+11 (with a(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]

a(1)=0, a(2)=17, a(3)=40, a(n)=3a(n-1) - 3a(n-2) + a(n-3) [From Harvey P. Dale, Apr 29 2011]

EXAMPLE

a(1)=6*1+0+11=17; a(2)=6*2+17+11=40; a(3)=6*3+40+11=69 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]

MATHEMATICA

Table[n(3n+14), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 17, 40}, 50] (* From Harvey P. Dale, Apr 29 2011 *)

CROSSREFS

Cf. A033428, A045944, A140676, A067725, A140677, A140678, A067707, A140680, A140681, A140689.

Sequence in context: A156777 A070142 A070143 * A152817 A078553 A104043

Adjacent sequences:  A140676 A140677 A140678 * A140680 A140681 A140682

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 17 23:46 EST 2012. Contains 206085 sequences.