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 A258957 T(n,k) = Number of (n+3) X (k+3) 0..1 arrays with no 4 X 4 subblock diagonal sum not equal the antidiagonal sum. 9

%I

%S 17920,80000,80000,357600,213920,357600,1645856,605904,605904,1645856,

%T 7668960,1724976,1188294,1724976,7668960,35887648,4964896,2292662,

%U 2292662,4964896,35887648,169347520,14867112,4268548,2864828,4268548

%N T(n,k) = Number of (n+3) X (k+3) 0..1 arrays with no 4 X 4 subblock diagonal sum not equal the antidiagonal sum.

%C Table starts

%C .......17920......80000....357600..1645856.7668960.35887648.169347520.803828768

%C .......80000.....213920....605904..1724976.4964896.14867112..44522440.134384448

%C ......357600.....605904...1188294..2292662.4268548..8889408..18461564..38504536

%C .....1645856....1724976...2292662..2864828.3415506..4910670...6869922...9782192

%C .....7668960....4964896...4268548..3415506.2618602..2593544...2456098...2490028

%C ....35887648...14867112...8889408..4910670.2593544..1910774...1416722...1288390

%C ...169347520...44522440..18461564..6869922.2456098..1416722....918188....890370

%C ...803828768..134384448..38504536..9782192.2490028..1288390....890370....973994

%C ..3829693280..410930808..81927058.14339074.2643922..1218684....811958....881974

%C .18318594784.1260815840.175124024.21420810.3075602..1472988...1035056...1143938

%H R. H. Hardin, <a href="/A258957/b258957.txt">Table of n, a(n) for n = 1..362</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 23]

%e Some solutions for n=1, k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jun 15 2015

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Last modified December 9 04:13 EST 2022. Contains 358698 sequences. (Running on oeis4.)