A296332 Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s.

13, 116, 816, 6504, 50595, 392230, 3051494, 23717411, 184355308, 1433037638, 11139235409, 86587195895, 673057105974, 5231789401997, 40667601888818, 316116291607512, 2457226536205687, 19100446262603801, 148471067812857111

Offset

1,1

Comments

Column 5 of A296335.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +3*a(n-2) +43*a(n-3) -108*a(n-4) -202*a(n-5) -1032*a(n-6) -445*a(n-7) -1793*a(n-8) +4099*a(n-9) -4465*a(n-10) +12221*a(n-11) -22700*a(n-12) +42730*a(n-13) -78341*a(n-14) +174054*a(n-15) -318760*a(n-16) +484060*a(n-17) -492919*a(n-18) +282609*a(n-19) +58331*a(n-20) -340724*a(n-21) +330980*a(n-22) -108845*a(n-23) -2824*a(n-24) -50894*a(n-25) +57699*a(n-26) +19438*a(n-27) -42546*a(n-28) -4887*a(n-29) +33956*a(n-30) -19967*a(n-31) -1438*a(n-32) +8948*a(n-33) -4861*a(n-34) -1371*a(n-35) +2471*a(n-36) +259*a(n-37) -1554*a(n-38) +614*a(n-39) +238*a(n-40) -233*a(n-41) +36*a(n-42) +14*a(n-43) -4*a(n-44)

Example

Some solutions for n=5
..1..0..0..0..0. .0..0..0..1..0. .1..0..0..0..0. .1..0..1..0..1
..0..0..1..0..0. .0..0..1..1..0. .0..0..1..0..0. .0..1..1..0..0
..0..1..1..0..0. .1..0..0..0..1. .0..0..0..1..0. .0..0..0..0..0
..0..0..0..0..0. .0..0..0..0..0. .1..0..0..0..1. .1..1..0..0..0
..0..0..1..0..0. .0..0..1..0..1. .0..1..0..1..1. .1..0..1..0..1

Crossrefs

Cf. A296335.

Sequence in context: A155621 A376153 A232319 * A021034 A296632 A250316

Adjacent sequences: A296329 A296330 A296331 * A296333 A296334 A296335

Keyword

nonn

Author

R. H. Hardin, Dec 10 2017

Status

approved