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Search: id:A034660
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| A034660 |
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Sum of n-th powers of divisors of 12. |
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+0
5
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| 6, 28, 210, 2044, 22386, 257908, 3037530, 36130444, 431733666, 5170140388, 61978939050, 743375541244, 8918294543346, 107006334784468, 1283997101947770, 15407492847694444, 184887084343023426
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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G.f.: (6-140x+1148x^2-4200x^3+6888x^4-4032x^5)/((1-x)(1-2x)(1-3x)(1-4x)(1-6x)(1-12x)). - Michael Somos, Apr 02 2003
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MATHEMATICA
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a[n_] := Plus@@(Divisors[12]^n)
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PROGRAM
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(PARI) a(n)=if(n<0, 0, polsym((x-1)*(x-2)*(x-3)*(x-4)*(x-6)*(x-12), n)[n+1])
(PARI) a(n)=if(n<0, 0, 1^n+2^n+3^n+4^n+6^n+12^n)
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CROSSREFS
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Sequence in context: A045722 A047129 A052395 this_sequence A090898 A134872 A049603
Adjacent sequences: A034657 A034658 A034659 this_sequence A034661 A034662 A034663
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KEYWORD
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easy,nonn
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AUTHOR
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njas
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