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 A252157 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7 9

%I

%S 1254,1945,1945,2591,1874,2591,3583,1898,1898,3583,5577,2702,3197,

%T 2702,5577,8309,4732,4988,4988,4732,8309,13146,8769,9572,8425,9572,

%U 8769,13146,20950,16786,17803,15460,15460,17803,16786,20950,33818,32653,35924,29825

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7

%C Table starts

%C ..1254...1945...2591...3583...5577....8309...13146...20950....33818....55346

%C ..1945...1874...1898...2702...4732....8769...16786...32653....64082...126281

%C ..2591...1898...3197...4988...9572...17803...35924...68613...140294...268864

%C ..3583...2702...4988...8425..15460...29825...58792..116276...229960...457196

%C ..5577...4732...9572..15460..29276...57271..114243..225966...451186...898886

%C ..8309...8769..17803..29825..57271..112547..223442..447713...891380..1776728

%C .13146..16786..35924..58792.114243..223442..446661..897932..1788360..3551084

%C .20950..32653..68613.116276.225966..447713..897932.1835764..3657020..7406660

%C .33818..64082.140294.229960.451186..891380.1788360.3657020..7371828.14724764

%C .55346.126281.268864.457196.898886.1776728.3551084.7406660.14724764.29451572

%H R. H. Hardin, <a href="/A252157/b252157.txt">Table of n, a(n) for n = 1..448</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 61] for n>82

%F k=2: [order 19] for n>27

%F k=3: [order 9] for n>14

%F k=4: [order 8] for n>13

%F k=5: [order 11] for n>16

%F k=6: [order 10] for n>15

%F k=7: [order 11, same recurrence as k=5] for n>16

%e Some solutions for n=4 k=4

%e ..0..2..2..0..2..2....0..2..3..3..3..3....3..3..3..3..3..2....3..3..3..3..3..3

%e ..1..0..3..1..0..3....2..0..2..0..2..3....3..0..2..0..2..0....3..2..0..2..0..2

%e ..1..0..3..1..0..3....0..2..0..2..0..2....3..2..0..2..0..2....2..0..2..0..2..0

%e ..0..2..2..0..2..2....2..0..2..0..2..0....2..0..2..0..2..3....3..2..0..2..0..2

%e ..1..3..0..1..3..0....0..2..0..2..0..2....3..2..0..2..0..3....3..0..2..0..2..3

%e ..1..0..3..1..0..3....2..0..2..0..2..3....3..3..2..0..2..3....3..3..3..2..0..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified May 20 06:37 EDT 2022. Contains 353852 sequences. (Running on oeis4.)