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A213131 Polylogarithm li(-n,-1/8) multiplied by (9^(n+1))/8. 3
1, -1, -7, -33, 105, 5199, 64953, -46593, -21769335, -497664081, -1941272487, 256114020447, 9566995408425, 99966666676239, -6245895772363527, -366865939437422913, -6924777575908002615, 259022993102904450159, 24387711970312991335833, 716398360186298080983327 (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=8.

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=8

E.g.f.: 9/(8+exp(9*x)). [Joerg Arndt, Apr 21 2013]

EXAMPLE

polylog(-5,-1/8)*9^6/8 = 5199

MAPLE

seq(add((-1)^(n-k)*combinat[eulerian1](n, k)*8^k, k=0..n), n=0..17); # Peter Luschny, Apr 21 2013

PROG

(PARI) /* See A212846; run limnpq(nmax, 1, 8) */

(PARI)  x='x+O('x^66); Vec(serlaplace( 9/(8+exp(9*x)) )) \\ Joerg Arndt, Apr 21 2013

CROSSREFS

Cf. A212846, A210246, A212847, A213127 to A213130

Cf. A213132 to A213157

Sequence in context: A168574 A212106 A131211 * A100855 A256860 A221036

Adjacent sequences:  A213128 A213129 A213130 * A213132 A213133 A213134

KEYWORD

sign

AUTHOR

Stanislav Sykora, Jun 06 2012

STATUS

approved

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Last modified June 25 06:13 EDT 2017. Contains 288709 sequences.