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Search: id:A092870
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| A092870 |
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Expansion of Hypergeometric function F(1/12,5/12;1;1728x). |
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+0
1
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| 1, 60, 39780, 38454000, 43751038500, 54538294552560, 72081445966966800, 99225259048241726400, 140744828381240373790500, 204278086466816584003782000, 301931182921413583820949947280
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OFFSET
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0,2
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FORMULA
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G.f.: F(1/12, 5/12;1;1728x). a(n)n^2=a(n-1)12(12n-7)(12n-11).
G.f. A(x)=y satisfies 0=(1728x^2-x)y''+(2592x-1)y'+60y.
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PROGRAM
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(PARI) a(n)=local(an); if(n<1, n==0, an=vector(n+1); an[1]=1; for(k=1, n, an[k+1]=an[k]*12*(12*k-7)*(12*k-11)/k^2); an[n+1])
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CROSSREFS
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Sequence in context: A003794 A068295 A123482 this_sequence A003788 A123378 A003795
Adjacent sequences: A092867 A092868 A092869 this_sequence A092871 A092872 A092873
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Mar 08 2004
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