

A085291


Decimal expansion of AlladiGrinstead constant exp(c1), where c is given in A085361.


5



8, 0, 9, 3, 9, 4, 0, 2, 0, 5, 4, 0, 6, 3, 9, 1, 3, 0, 7, 1, 7, 9, 3, 1, 8, 8, 0, 5, 9, 4, 0, 9, 1, 3, 1, 7, 2, 1, 5, 9, 5, 3, 9, 9, 2, 4, 2, 5, 0, 0, 0, 3, 0, 4, 2, 4, 2, 0, 2, 8, 7, 1, 5, 0, 4, 2, 9, 9, 9, 0, 1, 2, 5, 1, 6, 5, 4, 7, 3, 2, 2, 3, 1, 1, 5, 1, 8, 4, 0, 7, 8, 1, 9, 7, 2, 3, 6, 1, 6, 9, 1, 5
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..101.
K. Alladi, C. Grinstead, On the decomposition of n! into prime powers, J. Number Theory 9 (1977), 452458
Simon Plouffe, AlladiGrinstead Constant.
Eric Weisstein's World of Mathematics, AlladiGrinstead Constant


FORMULA

This constant is Exp[c1], where c is Sum[(1+Zeta[1+n])/n, {n, Infinity}] (cf. A085361).


EXAMPLE

0.80939402054063913071793188059409131721595399242500030424202871504...


MATHEMATICA

$MaxExtraPrecision = 256; RealDigits[ Exp[ Sum[ N[(1 + Zeta[1 + n])/n, 256], {n, 350}]  1], 10, 111][[1]](from Robert G. Wilson v, Nov 23 2005)


CROSSREFS

Cf. A085288, A085289, A085290, A085361.
Sequence in context: A246772 A198820 A138285 * A109219 A199506 A154803
Adjacent sequences: A085288 A085289 A085290 * A085292 A085293 A085294


KEYWORD

nonn,cons


AUTHOR

Eric W. Weisstein, Jun 25, 2003


EXTENSIONS

Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jun 24 2003


STATUS

approved



