|
| |
|
|
A060704
|
|
Singular n X n matrices over GF(2).
|
|
2
| |
|
|
1, 10, 344, 45376, 23555072, 48560766976, 399099960492032, 13098680304497852416, 1718239329196060706865152, 901210462928281273073900978176, 1890350559451566075272982533664407552
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| Also (apparently) number of n X n matrices over GF(2) having permanent = 0. - Hugo Pfoertner (hugo(AT) pfoertner.org), Nov 14 2003
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,57
Index entries for sequences related to binary matrices
|
|
|
FORMULA
| For n >= 1 a(n) = 2^(n^2) - A002884(n) = A002416(n) - A002884(n) = 2^(n^2) - product(2^n-2^i, i=0..n-1)
|
|
|
MAPLE
| for n from 1 to 20 do printf(`%d, `, 2^(n^2) - product(2^n - 2^j, j=0..n-1)) od:
|
|
|
PROG
| (PARI) { for (n=1, 57, write("b060704.txt", n, " ", 2^(n^2) - prod(i=0, n-1, 2^n - 2^i)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 09 2009]
|
|
|
CROSSREFS
| Cf. A002884, A002416.
Sequence in context: A197982 A197769 A171583 * A132093 A016101 A185255
Adjacent sequences: A060701 A060702 A060703 * A060705 A060706 A060707
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 20 2001
|
|
|
EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 23 2001
|
| |
|
|
