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A213129 Polylogarithm li(-n,-1/6) multiplied by (7^(n+1))/6. 3
1, -1, -5, -13, 115, 2099, 11395, -177373, -5116685, -40481581, 948973795, 36701972867, 375364322515, -12090607539661, -580544884927805, -7188739235243293, 301374306966657715, 17150539711123411859, 246564346727945106595, -12988846468460187345853 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=1,q=6.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..100

OEIS-Wiki, Eulerian polynomials

FORMULA

See formula in A212846, setting p=1,q=6

E.g.f.: 7/(6+exp(7*x)). [Joerg Arndt, Apr 21 2013]

EXAMPLE

polylog(-5,-1/6)*7^6/6 = 2099

MAPLE

seq(add((-1)^(n-k)*combinat[eulerian1](n, k)*6^k, k=0..n), n=0..17); # Peter Luschny, Apr 21 2013

PROG

(PARI) /* See A212846; run limnpq(nmax, 1, 6) */

(PARI)  x='x+O('x^66); Vec(serlaplace( 7/(6+exp(7*x)) )) \\ Joerg Arndt, Apr 21 2013

CROSSREFS

Cf. A212846, A210246, A212847, A213127, A213128,

Cf. A213130 through A213157

Sequence in context: A117527 A228280 A155175 * A004063 A005764 A099974

Adjacent sequences:  A213126 A213127 A213128 * A213130 A213131 A213132

KEYWORD

sign

AUTHOR

Stanislav Sykora, Jun 06 2012

STATUS

approved

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Last modified May 23 04:09 EDT 2017. Contains 286909 sequences.