A275642 Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=8.

1, -7, 22, -41, 51, -47, 39, -39, 49, -64, 80, -95, 107, -118, 135, -159, 180, -191, 200, -220, 252, -286, 314, -334, 349, -370, 409, -461, 505, -531, 554, -593, 648, -706, 758, -801, 835, -870, 924, -999, 1072, -1126, 1175, -1242, 1327, -1412, 1485, -1546, 1602, -1669, 1764, -1880, 1985, -2061

Offset

0,2

Links

Table of n, a(n) for n=0..53.

A. M. Odlyzko, Differences of the partition function, Acta Arithmetica 49.3 (1988): 237-254.

Dennis Stanton and Doron Zeilberger, The Odlyzko conjecture and O’Hara’s unimodality proof, Proceedings of the American Mathematical Society 107.1 (1989): 39-42.

Crossrefs

Cf. A275638.

Sequence in context: A047718 A031053 A063130 * A171441 A341401 A320694

Adjacent sequences: A275639 A275640 A275641 * A275643 A275644 A275645

Keyword

sign

Author

N. J. A. Sloane, Aug 09 2016

Status

approved