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 A252414 Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7 1

%I #4 Dec 17 2014 10:01:27

%S 1529,10129,50675,113146,762761,3896844,8765249,58862703,301012112,

%T 677233859,4545779778,23255945341,52314474379,351180950068,

%U 1797126206932,4041826927867,27135921895919,138904307192182,312336354848626

%N Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

%C Row 7 of A252407

%H R. H. Hardin, <a href="/A252414/b252414.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 155*a(n-3) -5730*a(n-6) -42198*a(n-9) +1622879*a(n-12) +2030179*a(n-15) -187657035*a(n-18) +329658691*a(n-21) +10540844124*a(n-24) -43470613344*a(n-27) -231395084395*a(n-30) +1705391090763*a(n-33) -1594780828281*a(n-36) -8202243837085*a(n-39) +13649139340934*a(n-42) +11408920742626*a(n-45) -29209549804863*a(n-48) -304063398727*a(n-51) +24481787927247*a(n-54) -9525504172387*a(n-57) -6487954567720*a(n-60) +5786348853028*a(n-63) -1143496074997*a(n-66) -870646129079*a(n-69) +657803408582*a(n-72) -2585391262*a(n-75) -95561243336*a(n-78) +6093576096*a(n-81) +5181361248*a(n-84) -76463712*a(n-87) -25142400*a(n-90) for n>91

%e Some solutions for n=4

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified September 22 14:29 EDT 2023. Contains 365531 sequences. (Running on oeis4.)