A139685
Number of n X n symmetric binary matrices with no row sum greater than 9.
Original entry on oeis.org
1, 2, 8, 64, 1024, 32768, 2097152, 268435456, 68719476736, 35184372088832, 35680013894626133, 69256173251646457490, 241954801784975938299853, 1412334943658808490059334190, 12845700351286288760264255058879, 171982565320546482600201655399505478
Offset: 0
A139678
Number of n X n symmetric binary matrices with no row sum greater than 2.
Original entry on oeis.org
1, 2, 8, 45, 315, 2634, 25518, 280257, 3434595, 46400310, 684374076, 10933866027, 187983528813, 3458845917990, 67787903801790, 1409293876400019, 30968525550983913, 717023025711440082, 17442766619178969600, 444704318660973471885, 11855331996299677291131
Offset: 0
-
n:=18: G:=taylor((1/sqrt(1-x))*exp((6*x + x^2 + x^3)/(4 - 4*x)),x=0,n+1): seq(coeff(G,x,m)*m!,m=0..n); # Nathaniel Johnston, Apr 19 2011
-
seq(n) = {Vec(serlaplace(exp( (6*x + x^2 + x^3)/(4*(1 - x)) + O(x*x^n) ) / sqrt(1 - x + O(x*x^n))))} \\ Andrew Howroyd, May 08 2020
A139679
Number of n X n symmetric binary matrices with no row sum greater than 3.
Original entry on oeis.org
1, 2, 8, 64, 809, 13846, 301262, 8035168, 255780779, 9519891214, 407613033836, 19816627136912, 1082142442901863, 65776576008442274, 4416031241930248774, 325289604104049686096, 26137255635911145802777, 2279186202842678350137218, 214713550195887533572753024
Offset: 0
A139680
Number of n X n symmetric binary matrices with no row sum greater than 4.
Original entry on oeis.org
1, 2, 8, 64, 1024, 28217, 1146419, 62951431, 4451407563, 392447922178, 42102440864054, 5391561047209898, 811314950514676762, 141599096294933832181, 28348376853054890615951, 6448749608634353498219753, 1653216120840296892595307251, 474197636984335589673286631814
Offset: 0
A139681
Number of n X n symmetric binary matrices with no row sum greater than 5.
Original entry on oeis.org
1, 2, 8, 64, 1024, 32768, 1914733, 178499118, 23973965155, 4356864886906, 1028823851939030, 306635655405986312, 112789704243814005142, 50281311185009713150048, 26760450115727957945767409, 16787646103442094018698106106, 12278130772483524854754380090307
Offset: 0
A139682
Number of n X n symmetric binary matrices with no row sum greater than 6.
Original entry on oeis.org
1, 2, 8, 64, 1024, 32768, 2097152, 254409765, 52635426489, 16734894319214, 7584366191600668, 4658699927786935270, 3743721825782942609558, 3832881704712490758507152, 4895883231714885655148797216, 7669344273849107780888127116263, 14522102432152504473007144076157867
Offset: 0
A139683
Number of n X n symmetric binary matrices with no row sum greater than 7.
Original entry on oeis.org
1, 2, 8, 64, 1024, 32768, 2097152, 268435456, 66628946641, 29707592691510, 21634670753754060, 23709506474859569328, 36821021837919664452090, 77635187673471762914463552, 215313862348697780762374273824, 766493362781127793638943080523776
Offset: 0
A139684
Number of n X n symmetric binary matrices with no row sum greater than 8.
Original entry on oeis.org
1, 2, 8, 64, 1024, 32768, 2097152, 268435456, 68719476736, 34575388318705, 32448313431713405, 52469561348291720657, 134755962211702695614887, 514006997326078783646604259, 2768435750908792178769980837441, 20276667790903553518295082198527981
Offset: 0
Showing 1-8 of 8 results.