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A085115
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Numerator of G(n)=sum(k=1,n,1/2^k/2*sum(j=0,k-1,1/binomial(2^(k-j)+j,j))).
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1
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1, 5, 241, 1561, 96029, 8580709, 1707931151, 147403551109, 1271289370866337, 18501833565256581935, 1745474502799550774494057, 35091068020856449153974443861, 12840452368911027932139293073746831113
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000
M. Beeler et al. Item 120 in M. Beeler, R. W. Gosper and R. Schroeppel, HAKMEM, Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, 55, Feb. 1972.
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FORMULA
| lim n-->oo G(n) = Gamma constant = 0.5772....
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PROG
| (PARI) a(n)=numerator(sum(k=1, n, 1/2^k/2*sum(j=0, k-1, 1/binomial(2^(k-j)+j, j))))
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CROSSREFS
| Cf. A085116.
Sequence in context: A200962 A174767 A142732 * A144999 A097323 A166943
Adjacent sequences: A085112 A085113 A085114 * A085116 A085117 A085118
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KEYWORD
| frac,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 10 2003
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