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Search: id:A154323
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| 1, 2, 10, 37, 101, 226, 442, 785, 1297, 2026, 3026, 4357, 6085, 8282, 11026, 14401, 18497, 23410, 29242, 36101, 44101, 53362, 64010, 76177, 90001, 105626, 123202, 142885, 164837, 189226, 216226, 246017, 278785, 314722, 354026, 396901, 443557
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: (1-3x+10x^2-3x^3+x^4)/(1-x)^5;
a(n)=1+C(n+1,2)^2=(n^4+2n^3+n^2+4)/4=1+A000537(n).
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MATHEMATICA
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lst={}; Do[s0=n^3; s1=(n+1)^2; AppendTo[lst, ((s1*s0)/n/4)+1], {n, 1, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 19 2009]
s = 1; lst = {s}; Do[s += n^3; AppendTo[lst, s], {n, 1, 42, 1}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]
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CROSSREFS
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Sequence in context: A151021 A151022 A144895 this_sequence A073110 A034547 A124646
Adjacent sequences: A154320 A154321 A154322 this_sequence A154324 A154325 A154326
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 07 2009
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