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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.
0

%I #11 Aug 14 2015 22:29:22

%S 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,

%T -27,-135,78,-9,0,-150,355,-100,-5,2,0,242,-121,-242,110,-11,9,-48,

%U -828,892,-201,0,2,0,-338,1521,-507,-338,143,-13

%N 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.

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

%D 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

%H A. van Wijngaarden, <a href="/A000521/a000521.pdf">On the coefficients of the modular invariant J(tau)</a>, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Series A, 56 (1953), 389-400. [Annotated scanned copy]

%e Triangle begins:

%e 9,

%e 0,

%e 0,2,

%e 9,-3,

%e 0,-8,2,

%e 0,25,-5,

%e 9,-12,-9,2,

%e 0,-49,49,-7,

%e 0,96,-40,-8,2,

%e 9,-27,-135,78,-9,

%e 0,-150,355,-100,-5,2,

%e 0,242,-121,-242,110,-11,

%e 9,-48,-828,892,-201,0,2,

%e 0,-338,1521,-507,-338,143,-13,

%e ...

%K sign,tabf

%O 0,1

%A _N. J. A. Sloane_, Jun 24 2015