A008705 -id:A008705 - cp's OEIS frontend

A369727 Maximal coefficient of ( (1 - x) * (1 - x^2) * (1 - x^3) * ... * (1 - x^n) )^n.

1, 1, 4, 15, 226, 2630, 95420, 4177117, 371458250, 49558386762, 11496848193144, 4055873729544890, 2321900139799896688, 2052844416093203835934, 2864423943667784141723196, 6181759121650271558049171285, 20773297302068160010868731066114

Offset: 0

Ilya Gutkovskiy, Jan 30 2024

nonn

Cf. A008705, A086376, A369710, A369711, A369725.

Table[Max[CoefficientList[Product[(1 - x^k)^n, {k, 1, n}], x]], {n, 0, 16}]

a(n) = vecmax(Vec(prod(k=1, n, (1-x^k))^n)); \\ Michel Marcus, Jan 30 2024

A381012 a(n) = [(x*y)^n] Product_{k>=1} (1 - x^k - y^k)^n.

Original entry on oeis.org

1, 0, -2, -6, -82, 530, -2420, 11718, -77458, 492834, -1022532, 3574714, -39670180, -172880396, 3186538080, -18558899356, 150869023214, -1286538054802, 6854805868780, -29675795883872, 168219184363308, -618102310289316, -1450440026397056, 26462673455854066

Offset: 0

Ilya Gutkovskiy, Apr 10 2025

sign

Cf. A008705, A322213, A322214.

Table[SeriesCoefficient[Product[(1 - x^k - y^k)^n, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 23}]

cp's OEIS Frontend

A369727 Maximal coefficient of ( (1 - x) * (1 - x^2) * (1 - x^3) * ... * (1 - x^n) )^n.

Views

Author

Keywords

Crossrefs

Programs

Mathematica