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A255156

Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1.

773, 3553, 19437, 102481, 538898, 2861823, 15122739, 79837911, 422334503, 2232885898, 11796944893, 62343454109, 329540721878, 1741777153766, 9205398349762, 48651701099440, 257137977856611, 1359050738800780

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OFFSET

1,1

COMMENTS

Column 5 of A255159

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-2) +43*a(n-3) +222*a(n-4) +483*a(n-5) +699*a(n-6) -1042*a(n-7) -6280*a(n-8) -8249*a(n-9) -1345*a(n-10) +27130*a(n-11) +70234*a(n-12) +34439*a(n-13) -120173*a(n-14) -327848*a(n-15) -224691*a(n-16) +570287*a(n-17) +725657*a(n-18) -400955*a(n-19) -379269*a(n-20) -313214*a(n-21) -1648508*a(n-22) -628660*a(n-23) +908056*a(n-24) +147963*a(n-25) +688746*a(n-26) +1016586*a(n-27) -601897*a(n-28) +764158*a(n-29) +346062*a(n-30) +109489*a(n-31) +838856*a(n-32) +52254*a(n-33) -122065*a(n-34) +474470*a(n-35) -562476*a(n-36) +585830*a(n-37) -420411*a(n-38) +323632*a(n-39) -213988*a(n-40) +127353*a(n-41) -71930*a(n-42) +39628*a(n-43) -15194*a(n-44) +6905*a(n-45) -2853*a(n-46) +1023*a(n-47) -238*a(n-48) +40*a(n-49) for n>54

EXAMPLE

Some solutions for n=4

..1..0..1..1..1..1..1....0..1..1..1..1..1..0....1..1..0..1..1..1..0

..0..1..1..1..1..1..1....1..1..1..0..1..1..1....1..1..1..1..1..1..1

..1..1..1..1..1..0..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1

..1..0..1..1..1..1..1....1..1..0..1..1..1..0....1..0..1..1..1..0..1

..1..1..1..1..1..1..1....0..1..1..1..0..1..1....1..1..1..1..1..1..1

..1..1..0..1..1..1..1....1..0..1..1..1..1..1....1..1..0..1..1..1..1

CROSSREFS

Cf. A255159

Sequence in context: A033919 A055521 A060825 * A365597 A233991 A250087

Adjacent sequences: A255153 A255154 A255155 * A255157 A255158 A255159