A297399 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.

1, 85, 369, 1243, 15541, 99682, 514945, 3977868, 27131403, 165041224, 1128035711, 7625285858, 49170022362, 326850563103, 2183716617103, 14348810814654, 94917649585924, 630373096158959, 4164712261202289, 27543277723412233

Offset

1,2

Comments

Row 6 of A297395.

Links

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

Formula

Empirical: a(n) = a(n-1) +6*a(n-2) +210*a(n-3) +229*a(n-4) +55*a(n-5) -9886*a(n-6) -14173*a(n-7) -8075*a(n-8) +195748*a(n-9) +181875*a(n-10) +87663*a(n-11) -1422344*a(n-12) -337739*a(n-13) -1114957*a(n-14) +5525820*a(n-15) -2908803*a(n-16) -871445*a(n-17) -12476178*a(n-18) +150124*a(n-19) +5056777*a(n-20) +2216204*a(n-21) -5969575*a(n-22) -10404139*a(n-23) +965484*a(n-24) +7909580*a(n-25) +142084*a(n-26) -4532588*a(n-27) -259328*a(n-28) +1045248*a(n-29) +23360*a(n-30) -64512*a(n-31)

Example

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

Crossrefs

Cf. A297395.

Sequence in context: A183644 A068559 A045017 * A020212 A251343 A251336

Adjacent sequences: A297396 A297397 A297398 * A297400 A297401 A297402

Keyword

nonn

Author

R. H. Hardin, Dec 29 2017

Status

approved