A333289 Irregular triangle read by rows: coefficients a_{r,j} (r>=1, j>=0) arising from an expansion of the partition function.
1, -1, -1, 1, 0, -1, 2, -1, -1, 2, -1, 0, 1, -2, 1, 1, -2, 0, 1, 1, -1, 1, -1, -2, 3, -1, -1, 1, 1, 1, -2, -1, 0, -1, 3, -1, 1, -1, 0, 1, -2, 1
Offset: 1
Examples
Triangle begins: 1, -1, -1,1, 0,-1,2,-1, -1,2,-1,0,1,-2,1, 1,-2,0,1,1,-1,1,-1,-2,3,-1, -1,1,1,1,-2,-1,0,-1,3,-1,1,-1,0,1,-2,1, ...
Links
- Mircea Merca, Maxie D. Schmidt, The partition function p(n) in terms of the classical Möbius function, Ramanujan J (2019) 49:87-96.
Crossrefs
Cf. A333290.