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A132758 n(n+31)/2. 2
0, 16, 33, 51, 70, 90, 111, 133, 156, 180, 205, 231, 258, 286, 315, 345, 376, 408, 441, 475, 510, 546, 583, 621, 660, 700, 741, 783, 826, 870, 915, 961, 1008, 1056, 1105, 1155, 1206, 1258, 1311, 1365, 1420, 1476, 1533, 1591, 1650 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n) = n*(n+31)/2.

If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,j=0..k-1),k=0..n-i), then a(n) = -f(n,n-1,16), for n>=1. [From Milan R. Janjic (agnus(AT)blic.net), Dec 20 2008]

a(n)=n+a(n-1)+15 (with a(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]

EXAMPLE

a(1)=1+0+15=16; a(2)=2+16+15=33; a(3)=3+33+15=51 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]

MATHEMATICA

i=-15; s=0; lst={}; Do[s+=n+i; If[s>=0, AppendTo[lst, s]], {n, 0, 5!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 29 2008]

CROSSREFS

Cf. A000217, A056126.

Sequence in context: A095784 A041502 A041500 * A195146 A198275 A041504

Adjacent sequences:  A132755 A132756 A132757 * A132759 A132760 A132761

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Aug 28 2007

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.