id:A157292 - OEIS Search Results

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Decimal expansion of 315/(2*Pi^4).

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

	OFFSET	`1,2`
	COMMENT	`The product_{p= primes = A000040} (1+1/p^2+1/p^4). The product over (1+2/p^2+1/p^4) equals A082020^2.`
	FORMULA	`Equals A013661/A013664 = product_{i>=1} (1+1/A001248(i)+1/A030514(i)) = 157.5*A092744.`
	EXAMPLE	`1.61689220511... = (1+1/2^2+1/2^4)(1+1/3^2+1/3^4)(1+1/5^2+1/5^4)(1+1/7^2+1/7^4)...`
	MAPLE	`evalf(315/2/Pi^4) ;`
	CROSSREFS	`Sequence in context: A081775 A156163 A011300 this_sequence A159828 A131114 A127778` `Adjacent sequences: A157289 A157290 A157291 this_sequence A157293 A157294 A157295`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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