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Search: id:A027620
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| 9, 32, 75, 144, 245, 384, 567, 800, 1089, 1440, 1859, 2352, 2925, 3584, 4335, 5184, 6137, 7200, 8379, 9680, 11109, 12672, 14375, 16224, 18225, 20384, 22707, 25200, 27869, 30720, 33759, 36992, 40425, 44064, 47915, 51984, 56277, 60800
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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n>0 such that x^3 + 2*x^2 + n factors over the integers. - James Buddenhagen (jbuddenh(AT)gmail.com), Apr 19 2005
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LINKS
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
P. De Geest, Palindromic Quasi_Under_Squares of the form n+(n+1)^2
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FORMULA
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a(n)=n^2*(n-2), n>=3 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 24 2006
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MAPLE
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[seq(n^2*(n-2), n=3..40)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 24 2006
a:=n->sum(sum(binomial(n+1, n), j=2..n), k=0..n): seq(a(n), n=2..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2007
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MATHEMATICA
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f[n_]:=n^1+(n+1)^2+(n+2)^3; lst={}; Do[AppendTo[lst, f[n]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 24 2009]
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PROGRAM
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sage: [i+(i+1)^2+(i+2)^3 for i in xrange(0, 38)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
(Other) sage: [lucas_number1(4, n, n) for n in xrange(3, 41)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]
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CROSSREFS
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Adjacent sequences: A027617 A027618 A027619 this_sequence A027621 A027622 A027623
Sequence in context: A155098 A063134 A152619 this_sequence A051662 A061913 A130444
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com)
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