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A152115 Decimal expansion of the dilogarithm of (the golden mean minus 1), Li_2(phi-1). +0
1
7, 5, 5, 3, 9, 5, 6, 1, 9, 5, 3, 1, 7, 4, 1, 4, 6, 9, 3, 8, 6, 5, 2, 0, 0, 2, 8, 7, 5, 6, 0, 8, 2, 3, 5, 3, 5, 1, 4, 9, 6, 3, 5, 9, 0, 6, 7, 4, 7, 8, 0, 1, 9, 1, 8, 2, 6, 0, 3, 3, 7, 0, 8, 9, 3, 2, 2, 0, 9, 1, 3, 6, 6, 7, 4, 9, 5, 8, 7, 1, 1, 3, 1, 5, 1, 2, 2, 7, 9, 3, 2, 8, 5, 4, 6, 6, 8, 2 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

Equals Li_2(phic) = L(phic)-log(phic)*log(1-phic)/2 = A002388/10 - A002390^2,

where Li_2(.) is the dilogarithm, L(.) is Roger's dilogarithm, where phic = phi-1 = A094214,

where -log(phic)= A002390 = log(1-phic)/2.

LINKS

Anatol N. Kirillov, Dilogarithm identities, arXiv:hep-th/9408113.

J. H. Loxton, Special values of the dilogarithm function, Acta Arithm. 43 (2) (1984), 155-166.

EXAMPLE

Equals 0.7553956195317414693865200287560823535149635906747...

PROGRAM

(PARI) phic=(sqrt(5)-1)/2 ; dilog(phic);

CROSSREFS

Sequence in context: A010510 A138313 A138312 this_sequence A098842 A070273 A158244

Adjacent sequences: A152112 A152113 A152114 this_sequence A152116 A152117 A152118

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 24 2008

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


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