id:A152651 - OEIS Search Results

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Decimal expansion of 3*Zeta(5) - Zeta(3)*Pi^2/6.

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

	OFFSET	`1,3`
	COMMENT	`A division by 2 is missing in Mezo's penultimate formula on page 4.`
	REFERENCES	`David Borwein and J. M. Borwein, On an intruiguing integral and some series related to zeta(4), Proc. Am. Math. Soc. 123 (1995) 1191-1198.`
	LINKS	`Istvan Mezo, Summation of Hyperharmonic Numbers, arXiv:0811.0042 [math.CO].`
	FORMULA	`Equals sum_(j=1..infinity) H(j)/j^4 = 3A013663 - A002117A013661 where H(j)=A001008(j)/A002805(j).`
	EXAMPLE	`Equals 1.1334789151328136607970110178859769320890912918456042272...`
	CROSSREFS	`Sequence in context: A155689 A051263 A058674 this_sequence A091973 A050066 A050064` `Adjacent sequences: A152648 A152649 A152650 this_sequence A152652 A152653 A152654`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 10 2008`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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