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A204962 T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing. 8

%I #12 Dec 05 2019 08:21:59

%S 16,51,51,156,277,156,450,1436,1436,450,1267,6921,12714,6921,1267,

%T 3490,32468,103106,103106,32468,3490,9490,147434,807253,1442543,

%U 807253,147434,9490,25545,659392,5988660,19632936,19632936,5988660,659392,25545,68286

%N T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing.

%C Table starts

%C ....16......51.......156.........450..........1267............3490

%C ....51.....277......1436........6921.........32468..........147434

%C ...156....1436.....12714......103106........807253.........5988660

%C ...450....6921....103106.....1442543......19632936.......252709954

%C ..1267...32468....807253....19632936.....476276892.....11028008070

%C ..3490..147434...5988660...252709954...11028008070....470866502871

%C ..9490..659392..43018570..3129723425..246591161060..19640644500055

%C .25545.2907273.298869279.37097334426.5248210960544.782197120564655

%H R. H. Hardin, <a href="/A204962/b204962.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=4 k=3

%e ..1..1..1..1....0..1..1..0....1..0..0..1....0..1..0..0....0..0..1..1

%e ..1..1..1..1....1..1..0..1....1..0..0..1....0..0..0..0....0..0..0..1

%e ..1..1..1..1....1..0..1..1....1..0..0..1....0..1..0..1....0..0..1..1

%e ..1..1..1..1....0..1..1..1....1..0..1..0....0..1..1..0....1..0..0..1

%e ..1..1..1..1....1..1..1..1....1..1..0..0....0..1..0..1....0..0..1..0

%Y Column 1 is A204716.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 20 2012

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Last modified April 24 11:21 EDT 2024. Contains 371936 sequences. (Running on oeis4.)