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Search: id:A074800
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| A074800 |
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a(1)=1; for n>1, a(n) is the denominator of b(n) = (4*n+1)*(prod(i=1,n,2*i-1)/prod(i=1,n,2*i))^5. |
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+0
2
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| 1, 32, 32768, 1048576, 34359738368, 1099511627776, 1125899906842624, 36028797018963968, 37778931862957161709568, 1208925819614629174706176, 1237940039285380274899124224, 39614081257132168796771975168
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Bruce C. Berndt and Robert Rankin,"Ramanujan: letters and commentary", AMS-LMS, History of Mathematics, vol. 9, p. 57
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FORMULA
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1+sum(k>=1, (-1)^k*b(k))=2/gamma(3/4)^4=0.88694116857811540541...
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PROGRAM
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(PARI) a(n)=denominator ((4*n+1)*(prod(i=1, n, 2*i-1)/prod(i=1, n, 2*i))^5)
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CROSSREFS
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Cf. A074799.
Sequence in context: A016877 A123393 A016937 this_sequence A054374 A017009 A034245
Adjacent sequences: A074797 A074798 A074799 this_sequence A074801 A074802 A074803
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 08 2002
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