|
| |
|
|
A318538
|
|
Number of n X n (0,1)-matrices with nonzero pairwise distinct rows and nonzero pairwise distinct columns.
|
|
2
|
|
|
|
1, 1, 6, 174, 24360, 15198120, 38415132000, 376482729702240, 14139748304132048640, 2040859528996474439366400, 1141301651605590355550899891200, 2494751188402618305982805631973248000, 21474225685319103561274021904272069843353600
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
Table of n, a(n) for n=0..12.
|
|
|
FORMULA
|
a(n) = n! * Sum_{i=0..n} Stirling1(n+1,i+1) * binomial(2^i-1,n).
a(n) = A318537(n,n).
a(n) = A094000(n) * n!.
|
|
|
PROG
|
(PARI) { A318538(n) = n! * sum(i=0, n, stirling(n+1, i+1) * binomial(2^i - 1, n) ); }
|
|
|
CROSSREFS
|
Main diagonal of A318537.
Cf. A094000, A059202.
Sequence in context: A214801 A233225 A055165 * A071095 A134632 A024277
Adjacent sequences: A318535 A318536 A318537 * A318539 A318540 A318541
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Max Alekseyev, Aug 28 2018
|
|
|
STATUS
|
approved
|
| |
|
|
