A213142 Polylogarithm li(-n,-4/5) multiplied by (9^(n+1))/5.

1, -4, -4, 156, 636, -23844, -213444, 7561116, 122079996, -3999858084, -105913993284, 3121006139676, 129328349560956, -3294956189426724, -210883838041123524, 4369388083699591836, 441597580986548139516

Offset: 0

Author

Stanislav Sykora, Jun 06 2012

Keywords

• sign

Comments

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=4,q=5.

Examples

			polylog(-5,-4/5)*9^6/5 = -23844.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213141.

Cf. A213143 to A213157.

Programs

Mathematica

f[n_] := PolyLog[-n, -4/5] 9^(n + 1)/5; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI

\\ in A212846; run limnpq(nmax,4,5)

Formula

See formula in A212846, setting p=4,q=5.