A296584 Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.

8, 62, 346, 2458, 17503, 125765, 923475, 6803610, 50377421, 373850392, 2777732079, 20654701931, 153644634237, 1143184990070, 8506893093507, 63307684790436, 471150096596496, 3506483896308059, 26096955903405185, 194227578159387531

Offset

1,1

Comments

Column 4 of A296588.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +8*a(n-2) -58*a(n-3) -278*a(n-4) +147*a(n-5) +595*a(n-6) +2682*a(n-7) -1043*a(n-8) +3735*a(n-9) -18651*a(n-10) +42589*a(n-11) -76532*a(n-12) +55562*a(n-13) -173511*a(n-14) +325879*a(n-15) -478333*a(n-16) +1330050*a(n-17) -2570716*a(n-18) +3857247*a(n-19) -6383060*a(n-20) +7586423*a(n-21) -20472102*a(n-22) +21750493*a(n-23) -32294738*a(n-24) +29932951*a(n-25) -46213332*a(n-26) +59229366*a(n-27) -51749139*a(n-28) +50547606*a(n-29) -40444743*a(n-30) +52998804*a(n-31) -33957824*a(n-32) +10431384*a(n-33) +4082055*a(n-34) -18248252*a(n-35) +12516670*a(n-36) -17554891*a(n-37) +27369846*a(n-38) -7151522*a(n-39) -11198062*a(n-40) +17942737*a(n-41) -8770793*a(n-42) -6499741*a(n-43) +5750994*a(n-44) -265218*a(n-45) -1642344*a(n-46) +353334*a(n-47) +347692*a(n-48) +49025*a(n-49) -13338*a(n-50) -13172*a(n-51) -1430*a(n-52) +838*a(n-53) +43*a(n-54) -31*a(n-55) +2*a(n-56) +a(n-57)

Example

Some solutions for n=6
..1..0..1..0. .1..0..0..0. .0..1..0..1. .0..1..0..0. .1..0..0..0
..0..0..0..1. .0..0..1..1. .0..0..1..1. .0..0..0..1. .0..1..0..1
..0..0..1..1. .1..0..1..0. .0..1..0..1. .1..0..0..0. .0..0..1..1
..0..0..0..1. .0..0..0..0. .1..1..0..1. .0..1..0..0. .0..0..0..0
..0..1..0..1. .0..1..1..0. .1..0..1..1. .1..1..0..0. .1..0..1..1
..1..1..1..0. .0..1..0..0. .0..0..1..0. .0..0..0..0. .0..0..1..1

Crossrefs

Cf. A296588.

Sequence in context: A114028 A044527 A269607 * A198690 A056054 A167251

Adjacent sequences: A296581 A296582 A296583 * A296585 A296586 A296587

Keyword

nonn

Author

R. H. Hardin, Dec 16 2017

Status

approved