A077142 - OEIS

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A077142

Decimal expansion of b = log(2*Pi)-1-Gamma/2.

5, 4, 9, 2, 6, 9, 2, 3, 3, 9, 5, 8, 5, 7, 9, 0, 5, 3, 2, 5, 7, 4, 0, 3, 4, 2, 7, 7, 7, 0, 0, 3, 4, 0, 6, 4, 2, 0, 1, 7, 1, 5, 2, 7, 9, 3, 0, 5, 6, 0, 5, 0, 2, 6, 2, 3, 1, 4, 1, 9, 4, 6, 3, 5, 2, 3, 0, 9, 7, 5, 2, 8, 4, 6, 5, 6, 8, 8, 4, 5, 9, 9, 2, 1, 0, 1, 3, 0, 6, 5, 6, 2, 6, 0, 3, 5, 0, 2, 0, 4, 8, 6, 6, 9 (list; constant; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Arises in the Riemann zeta function's expression (Hadamard product) : zeta(s)=exp(bs)/(2(s-1)GAMMA(s/2+1))prod( r, (1-s/r)^exp(s/r)) where r runs through the zeros.`
	LINKS	`Eric Weisstein's World of Mathematics, Hadamard Product` `Index entries for zeta function.`
	FORMULA	`b = 0.54926923395857905325740342777003406420171527930560...`
	MATHEMATICA	`RealDigits[Log[2Pi]-1-EulerGamma/2, 10, 120][[1]] (* From Harvey P. Dale, Nov 05 2011 *)`
	CROSSREFS	`Sequence in context: A160427 A090124 A097943 * A156057 A125057 A021186` `Adjacent sequences: A077139 A077140 A077141 * A077143 A077144 A077145`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 29 2002`

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Last modified February 17 16:34 EST 2012. Contains 206052 sequences.