A259107 Triangle read by rows: row n gives coefficients in an expansion of M_n*M_{-n}, where M_n = x^n+y^n+z^n and x,y,z satisfy x+y+z=0.

9, 0, 0, 2, 9, -3, 0, -8, 2, 0, 25, -5, 9, -12, -9, 2, 0, -49, 49, -7, 0, 96, -40, -8, 2, 9, -27, -135, 78, -9, 0, -150, 355, -100, -5, 2, 0, 242, -121, -242, 110, -11, 9, -48, -828, 892, -201, 0, 2, 0, -338, 1521, -507, -338, 143, -13

Offset

0,1

Comments

Rows lengths are 1,1,2,2,3,3,4,4,...

References

A. van Wijngaarden, On the coefficients of the modular invariant J(tau), Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Series A, 56 (1953), 389-400

Links

Table of n, a(n) for n=0..55.

A. van Wijngaarden, On the coefficients of the modular invariant J(tau), Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Series A, 56 (1953), 389-400. [Annotated scanned copy]

Example

Triangle begins:
9,
0,
0,2,
9,-3,
0,-8,2,
0,25,-5,
9,-12,-9,2,
0,-49,49,-7,
0,96,-40,-8,2,
9,-27,-135,78,-9,
0,-150,355,-100,-5,2,
0,242,-121,-242,110,-11,
9,-48,-828,892,-201,0,2,
0,-338,1521,-507,-338,143,-13,
...

Crossrefs

Sequence in context: A276999 A223082 A318374 * A097671 A112628 A198871

Adjacent sequences: A259104 A259105 A259106 * A259108 A259109 A259110

Keyword

sign,tabf

Author

N. J. A. Sloane, Jun 24 2015

Status

approved