A299206 Ramanujan's tau function (or tau numbers (A000594)) for 5^n.

1, 4830, -25499225, -359001100500, -488895969711875, 15167983076643206250, 97133231781274332671875, -271470664160664028370625000, -6054036890966043032024015234375, -15985594659896064584391569753906250, 218396847859403327980436336954599609375

Offset: 0

Author

Seiichi Manyama, Feb 05 2018

Keywords

• sign

Links

• Eric Weisstein's World of Mathematics, Tau Function
• Index entries for linear recurrences with constant coefficients, signature (4830, -48828125).

Crossrefs

Cf. A000594, A000351, A035174, A064556.

Programs

Mathematica

RamanujanTau[5^Range[0,10]] (* Harvey P. Dale, Jun 06 2024 *)

PARI

{a(n) = ramanujantau(5^n)}

Formula

G.f.: 1/(1-4830*x+48828125*x^2).

a(n) = A000594(A000351(n)). - Michel Marcus, Feb 05 2018