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0, 13, 27, 42, 58, 75, 93, 112, 132, 153, 175, 198, 222, 247, 273, 300, 328, 357, 387, 418, 450, 483, 517, 552, 588, 625, 663, 702, 742, 783, 825, 868, 912, 957, 1003, 1050, 1098, 1147, 1197, 1248, 1300, 1353, 1407, 1462, 1518, 1575
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = n*(n+25)/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-1,13), for n>=1. [From Milan R. Janjic (agnus(AT)blic.net), Dec 20 2008]
a(n)=n+a(n-1)+12 (with a(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]
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EXAMPLE
| a(1)=1+0+12=13; a(2)=2+13+12=27; a(3)=3+27+12=42 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]
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MAPLE
| a:=n->sum(denom (k/(k+3)), k=10..n): seq(a(n), n=9..56); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 31 2008
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MATHEMATICA
| i=-12; s=0; lst={}; Do[s+=n+i; If[s>=0, AppendTo[lst, s]], {n, 0, 6!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 29 2008]
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CROSSREFS
| Cf. A000217, A056126.
Sequence in context: A041328 A136773 A189528 * A147450 A195045 A098266
Adjacent sequences: A132752 A132753 A132754 * A132756 A132757 A132758
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KEYWORD
| easy,nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Aug 28 2007
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