A331641 Number of binary matrices with n columns and any number of distinct nonzero rows with 3 ones in every column.

1, 0, 0, 1104, 413088, 329520720, 491236986720, 1181472603447024, 4293813878010363168, 22458802092186671702160, 162578056150830848930694240, 1578225306620809383358117044144, 20018143307386606584084592083087648, 324613983359213454501611571669979410000

Offset

0,4

Links

Andrew Howroyd, Table of n, a(n) for n = 0..100

Formula

a(n) ~ n!^3 * c * d^n / n, where d = 7.9365604019720... and c = 0.0383819978405... - Vaclav Kotesovec, Feb 10 2026

Crossrefs

Row n=3 of A331567.

Cf. A331640.

Sequence in context: A022055 A008688 A107519 * A343084 A168629 A175521

Adjacent sequences: A331638 A331639 A331640 * A331642 A331643 A331644

Keyword

nonn

Author

Andrew Howroyd, Jan 23 2020

Status

approved