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Search: id:A140091
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| 0, 6, 15, 27, 42, 60, 81, 105, 132, 162, 195, 231, 270, 312, 357, 405, 456, 510, 567, 627, 690, 756, 825, 897, 972, 1050, 1131, 1215, 1302, 1392, 1485, 1581, 1680, 1782, 1887, 1995, 2106, 2220, 2337, 2457, 2580, 2706, 2835, 2967
(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) = A000096(n)*3 = (3*n^2 + 9*n)/2 = n(3n+9)/2.
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MAPLE
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with(finance):seq(add(cashflows([2, k, n], 0 ), k=2..n), n=1..45); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 2008
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MATHEMATICA
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s=0; lst={}; Do[s+=n+1; s+=n+2; s+=n+3; AppendTo[lst, s], {n, 0, 4!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 30 2008]
lst={}; Do[AppendTo[lst, 3*n*(n+3)/2], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 06 2008]
Table[Sum[i + n - 3, {i, 0, n}], {n, 2, 45}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]
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CROSSREFS
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Cf. A000096, A000326, A005449, A045943, A115067, A140090, A059845, A140672, A140673, A140674, A140675.
The generalized pentagonal numbers b*n+3*n*(n-1)/2, for b = 1 through 12, form sequences A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140672, A140673, A140674, A140675, A151542.
Adjacent sequences: A140088 A140089 A140090 this_sequence A140092 A140093 A140094
Sequence in context: A022601 A112150 A072257 this_sequence A165454 A063525 A161777
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KEYWORD
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easy,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), May 22 2008
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