A296317 Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1.

6, 60, 295, 1970, 12547, 77426, 490668, 3078638, 19343899, 121656933, 764438509, 4805307635, 30204033317, 189843766164, 1193281179607, 7500358766425, 47143616101848, 296322172696548, 1862536668117625, 11707004939753233

Offset

1,1

Comments

Column 5 of A296320.

Links

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-2) +80*a(n-3) +121*a(n-4) +307*a(n-5) +211*a(n-6) +756*a(n-7) -1102*a(n-8) +1314*a(n-9) -6584*a(n-10) +10104*a(n-11) -18601*a(n-12) +10716*a(n-13) +10312*a(n-14) -5396*a(n-15) -7685*a(n-16) +42214*a(n-17) -18367*a(n-18) -47060*a(n-19) -19762*a(n-20) +48147*a(n-21) +841*a(n-22) +16545*a(n-23) +5633*a(n-24) -23751*a(n-25) +3993*a(n-26) -4983*a(n-27) -5719*a(n-28) +4682*a(n-29) +79*a(n-30) +1960*a(n-31) +1488*a(n-32) +26*a(n-33) -4*a(n-34) -270*a(n-35) -171*a(n-36) -96*a(n-37) -21*a(n-38) +15*a(n-39) +3*a(n-40) +8*a(n-41) +a(n-43)

Example

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

Crossrefs

Cf. A296320.

Sequence in context: A361787 A361387 A256442 * A292061 A074441 A006741

Adjacent sequences: A296314 A296315 A296316 * A296318 A296319 A296320

Keyword

nonn

Author

R. H. Hardin, Dec 10 2017

Status

approved