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Search: id:A132755
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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; listen)
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OFFSET
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0,2
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FORMULA
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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)+11 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 19 2009]
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EXAMPLE
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For n=2, a(2)=2+0+11=13; n=3, a(3)=3+13+11=27; n=4, a(4)=4+27+11=42 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 19 2009]
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MAPLE
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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
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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
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Cf. A000217, A056126.
Sequence in context: A041765 A041328 A136773 this_sequence A147450 A098266 A041332
Adjacent sequences: A132752 A132753 A132754 this_sequence A132756 A132757 A132758
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KEYWORD
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easy,nonn,new
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Aug 28 2007
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