A275643 Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=12.

1, -11, 56, -175, 376, -592, 719, -722, 678, -696, 815, -988, 1143, -1254, 1374, -1602, 1986, -2440, 2794, -2971, 3095, -3378, 3906, -4562, 5147, -5568, 5937, -6487, 7336, -8317, 9111, -9601, 10048, -10852, 12146, -13656, 14954, -15853, 16601, -17692, 19402, -21465, 23298, -24631, 25843, -27577

Offset

0,2

Links

Table of n, a(n) for n=0..45.

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: A042503 A223766 A265151 * A341405 A223773 A224154

Adjacent sequences: A275640 A275641 A275642 * A275644 A275645 A275646

Keyword

sign

Author

N. J. A. Sloane, Aug 09 2016

Status

approved