A213138 -id:A213138 - cp's OEIS frontend

A213137 Polylogarithm li(-n,-3/4) multiplied by (7^(n+1))/4.

1, -3, -3, 69, 285, -6123, -56883, 1103109, 19251645, -320851083, -9828858963, 130009042149, 7019067151005, -62927791491243, -6646083378845043, 24719268064533189, 8013257547754474365, 22024516916447897397

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=3,q=4.

			polylog(-5,-3/4)*7^6/4 = -6123.

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

Cf. A212846, A210246, A212847, A213127 to A213136.

Cf. A213138 to A213157.

f[n_] := PolyLog[-n, -3/4] 7^(n + 1)/4; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
in A212846; run limnpq(nmax, 3, 4)
```

See formula in A212846, setting p=3,q=4.

A213139 Polylogarithm li(-n,-3/7) multiplied by (10^(n+1))/7.

Original entry on oeis.org

1, -3, -12, 78, 1824, 240, -513120, -5857680, 196293120, 6811964160, -57818956800, -8095402329600, -83402198630400, 10192670228889600, 371764953132748800, -11291351664942336000, -1131884186768228352000

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=3,q=7.

			polylog(-5,-3/7)*10^6/7 = 240

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

Cf. A212846, A210246, A212847, A213127 to A213138.

Cf. A213140 to A213157.

f[n_] := PolyLog[-n, -3/7] 10^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
in A212846; run limnpq(nmax, 3, 7)
```

See formula in A212846, setting p=3,q=7.

cp's OEIS Frontend

A213137 Polylogarithm li(-n,-3/4) multiplied by (7^(n+1))/4.

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