A255790 Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

2969, 3376, 11631, 38889, 148202, 597517, 2364049, 9385686, 37725371, 151145267, 604492052, 2422300221, 9707487711, 38877851860, 155739534465, 623953526367, 2499517307270, 10012853192311, 40112295626611, 160690888205666

Offset

1,1

Comments

Column 6 of A255792

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +2*a(n-2) -22*a(n-3) -3*a(n-4) -100*a(n-5) +323*a(n-6) +170*a(n-7) -916*a(n-8) +1066*a(n-9) -472*a(n-10) +455*a(n-11) -4942*a(n-12) -914*a(n-13) +15635*a(n-14) -7405*a(n-15) +1545*a(n-16) -7020*a(n-17) +9813*a(n-18) -21*a(n-19) -39359*a(n-20) +22443*a(n-21) -9927*a(n-22) +16239*a(n-23) +1297*a(n-24) +27731*a(n-25) +51363*a(n-26) -51582*a(n-27) -71*a(n-28) -23274*a(n-29) -49887*a(n-30) -53724*a(n-31) +10869*a(n-32) +67935*a(n-33) +45603*a(n-34) +13913*a(n-35) +51872*a(n-36) +13265*a(n-37) -57465*a(n-38) -55839*a(n-39) -52005*a(n-40) +7539*a(n-41) -16374*a(n-42) +39312*a(n-43) +87745*a(n-44) +7736*a(n-45) -48272*a(n-46) -43899*a(n-47) +8146*a(n-48) +34445*a(n-49) -7166*a(n-50) -17878*a(n-51) +1977*a(n-52) +27817*a(n-53) -11406*a(n-54) -9109*a(n-55) -4113*a(n-56) +6587*a(n-57) +11068*a(n-58) -14768*a(n-59) -1719*a(n-60) +6940*a(n-61) -743*a(n-62) +1916*a(n-63) -2935*a(n-64) -854*a(n-65) +2131*a(n-66) -784*a(n-67) -91*a(n-68) +258*a(n-69) -218*a(n-70) +189*a(n-71) -2*a(n-72) -110*a(n-73) +32*a(n-74) +12*a(n-75) -4*a(n-76) for n>83

Example

Some solutions for n=4
..1..1..1..1..0..1..1..1....1..1..1..0..1..0..1..1....0..1..0..1..0..1..0..1
..1..0..1..0..1..0..1..0....0..1..0..1..0..1..0..1....1..0..1..0..1..1..1..0
..0..1..0..1..0..1..0..1....1..1..1..0..1..0..1..1....1..1..0..1..0..1..0..1
..1..0..1..0..1..0..1..1....0..1..0..1..0..1..0..1....1..0..1..0..1..0..1..0
..0..1..1..1..0..1..0..1....1..0..1..0..1..0..1..1....1..1..0..1..1..1..1..1
..1..0..1..0..1..0..1..1....1..1..1..1..0..1..0..1....1..1..1..0..1..0..1..0

Crossrefs

Cf. A255792

Sequence in context: A107534 A184079 A236590 * A252947 A272285 A124595

Adjacent sequences: A255787 A255788 A255789 * A255791 A255792 A255793

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved