id:A132020 - OEIS Search Results

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A132020

Decimal expansion of Product{k>0, 1-1/(2*4^k)}.

+0
4

4, 1, 9, 4, 2, 2, 4, 4, 1, 7, 9, 5, 1, 0, 7, 5, 9, 7, 7, 0, 9, 9, 5, 6, 1, 0, 7, 7, 0, 2, 9, 7, 4, 2, 5, 2, 2, 3, 3, 9, 5, 3, 2, 3, 4, 3, 9, 2, 6, 6, 6, 7, 4, 9, 0, 8, 0, 4, 4, 9, 9, 1, 6, 6, 3, 1, 7, 7, 2, 0, 5, 0, 8, 7, 2, 7, 0, 9, 1, 9, 3, 9, 1, 0, 0, 2, 3, 2, 4, 5, 4, 7, 4, 2, 3, 8, 1, 9, 5, 5, 0, 2, 8 (list; cons; graph; listen)

	OFFSET	`0,1`
	FORMULA	`lim inf product{0<=k<=floor(log_4(n)), floor(n/4^k)4^k/n} for n-->oo.` `lim inf A132028(n)/n^(1+floor(log_4(n)))4^(1/2(1+floor(log_4(n)))floor(log_4(n))) for n-->oo.` `lim inf A132028(n)/n^(1+floor(log_4(n)))4^A000217(floor(log_4(n))) for n-->oo.` `(1/2)exp(-sum{n>0, 4^(-n)sum{k\|n, 1/(k2^k))}}).` `lim inf A132028(n)/A132028(n+1)=0.4194224417951075977... for n-->oo.`
	EXAMPLE	`0.4194224417951075977...`
	CROSSREFS	`Cf. A048651, A098844, A067080, A132019, A132026, A132028, A100221, A000217.` `Sequence in context: A085691 A055461 A104796 this_sequence A143864 A073364 A125165` `Adjacent sequences: A132017 A132018 A132019 this_sequence A132021 A132022 A132023`
	KEYWORD	`nonn,cons`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 14 2007`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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