A213148 -id:A213148 - cp's OEIS frontend

A213147 Polylogarithm li(-n,-5/8) multiplied by (13^(n+1))/8.

1, -5, -15, 355, 4665, -88805, -2984415, 37043155, 3157381065, -10240455605, -4883191732815, -46188388946045, 10124441425941465, 280075126224969595, -26112838782751585215, -1459429976295088887245

Offset: 0

Stanislav Sykora, Jun 06 2012

sign

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=5,q=8.

			polylog(-5,-5/8)*13^6/8 = -88805.

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

Cf. A212846, A210246, A212847, A213127 to A213146.

Cf. A213148 to A213157.

p = 5; q = 8; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
\\ in A212846, run limnpq(nmax, 5, 8)
```

See formula in A212846, setting p=5,q=8.

A213149 Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.

Original entry on oeis.org

1, -6, -6, 498, 2010, -163806, -1426326, 113319858, 1731433530, -133040247486, -3200805321846, 235719742497618, 8363215587567450, -584103976037953566, -29313609779751086166, 1917198413998763777778

Offset: 0

Stanislav Sykora, Jun 06 2012

sign

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=6,q=7.

			polylog(-5,-6/7)*13^6/7 = -163806.

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

Cf. A212846, A210246, A212847, A213127 to A213148.

Cf. A213150 to A213157.

p = 6; q = 7; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
\\ in A212846; run limnpq(nmax, 6, 7)
```

See formula in A212846, setting p=6,q=7.

cp's OEIS Frontend

A213147 Polylogarithm li(-n,-5/8) multiplied by (13^(n+1))/8.

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