id:A107370 - OEIS Search Results

Search: id:A107370

Displaying 1-1 of 1 results found.

page 1

Decimal expansion of 8*Pi^4/21/zeta(3).

+0
1

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

	OFFSET	`-1,1`
	COMMENT	`sum(k<N,r_3(k)^2) is asymptotic to 8Pi^4/21/zeta(3)N^2 where r_3(n) is the number of representations of a positive integer n as a sum of 3 squares of integers.`
	LINKS	`S. K. K. Choi, A. V. Kumchev, and R. Osburn, On sums of three squares`
	FORMULA	`8*Pi^4/21/zeta(3)=30.870606090503587...`
	PROGRAM	`(PARI) 8*Pi^4/21/zeta(3)`
	CROSSREFS	`Cf. A005875.` `Adjacent sequences: A107367 A107368 A107369 this_sequence A107371 A107372 A107373` `Sequence in context: A007391 A137204 A021328 this_sequence A068458 A011082 A021768`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), May 24 2005`

page 1

Search completed in 0.003 seconds

Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

AT&T Labs Research