A005764 Coefficients of modular function denoted G_6(tau) by Atkin. (Formerly M3837)

1, -5, -13, 132, -233, -305, 1404, -910, -1533, 1382, 698, 3996, -9363, -1587, 14717, -7198, -265, 0, -8156, -8032, 16481, 25134, 32766, -120680, -33928, 206871, -136720, 17724, 0, 8628, 58947, -121746, 199279, 164908, -907425

Offset

-6,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=-6..28.

A. O. L. Atkin, Proof of a conjecture of Ramanujan, Glasgow Math. J., 8 (1967), 14-32.

Formula

Convolution of A005760 and A005762.

Example

q^-6 - 5*q^-5 - 13*q^-4 + 132*q^-3 - 233*q^-2 - 305*q^-1 + 1404 - 910*q + ...

Mathematica

A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {_, _}][[All, 2]]];
A005760 = A@005760;
A005762 = A@005762;
offset = -6;
a[n_] := Sum[A005760[[k+1]] A005762[[n-offset-k+1]], {k, 0, n-offset}];
a /@ Range[offset, 28] (* Jean-François Alcover, Jan 13 2020 *)

Crossrefs

Cf. A005760, A005762.

Sequence in context: A155185 A213129 A004063 * A358922 A305643 A316919

Adjacent sequences: A005761 A005762 A005763 * A005765 A005766 A005767

Keyword

sign,easy,nice

Author

N. J. A. Sloane

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 15 2000

Status

approved