id:A131915 - OEIS Search Results

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A131915

Decimal expansion of 1 / (1 - gamma - ln(2^0.5)) - 12, where gamnma is the Euler-Mascheroni constant.

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

	OFFSET	`1,3`
	COMMENT	`Continued fraction expansion is A131916.`
	LINKS	`Mark B. Villarino, Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number. Constant occurs in Theorem 6, formula (1.13), page 6.`
	FORMULA	`Martin Fuller corrected a typo in the cited paper. It should be: ((12 * gamma) - 11 + (12 * ln(2^0.5))) / (1 - gamma - ln(2^0.5)) or more simply: 1 / (1 - gamma - ln(2^0.5)) - 12.`
	EXAMPLE	`1.1215093407.`
	CROSSREFS	`Cf. A001008, A001620, A131916, A131917, A131918.` `Sequence in context: A011131 A058241 A021827 this_sequence A078036 A066421 A143983` `Adjacent sequences: A131912 A131913 A131914 this_sequence A131916 A131917 A131918`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 27 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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