A152419 - OEIS

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A152419

Decimal expansion of 3-Pi^2/6-zeta(3).

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

	OFFSET	`0,2`
	COMMENTS	`Consider the constants N(s)=sum_{n=2,3,...infinity} 1/(n^s*(n-1)) = s-sum_{l=2..s} Zeta(l), where Zeta is Riemann's zeta function. We have N(1)=1 and this constant here is N(3).`
	LINKS	`R. J. Mathar, Series of reciprocal powers of k-almost primes, section 4.1.`
	FORMULA	`Equals 3-A013661-A002117.`
	EXAMPLE	`Equals 0.153009029992179278127846671842524820016063806452702680...`
	MAPLE	`evalf(3-Pi^2/6-Zeta(3));`
	CROSSREFS	`Sequence in context: A046270 A139207 A137237 * A077602 A193547 A144481` `Adjacent sequences: A152416 A152417 A152418 * A152420 A152421 A152422`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 03 2008`

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Last modified February 15 19:15 EST 2012. Contains 205852 sequences.