A297455 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.

21, 384, 3933, 52714, 693884, 8800153, 113851142, 1469935404, 18934230754, 244239027815, 3149901117365, 40617876400898, 523818982175997, 6755192304479165, 87114527602334439, 1123431301480583577

Offset

1,1

Comments

Column 6 of A297457.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -14*a(n-2) +79*a(n-3) -3738*a(n-4) +4388*a(n-5) +14126*a(n-6) +270135*a(n-7) -310932*a(n-8) -1120319*a(n-9) -8593839*a(n-10) +8074271*a(n-11) +27798675*a(n-12) +128893761*a(n-13) -61708818*a(n-14) -302903532*a(n-15) -866628548*a(n-16) -540973548*a(n-17) +1943975104*a(n-18) +929609841*a(n-19) +10149328351*a(n-20) -10157042343*a(n-21) +19023784767*a(n-22) -50515574349*a(n-23) +36304063304*a(n-24) -83019379276*a(n-25) +74491853590*a(n-26) -41946763050*a(n-27) +73372060494*a(n-28) +77943203983*a(n-29) -63056049445*a(n-30) +94613652348*a(n-31) -248458250400*a(n-32) +146965577968*a(n-33) -164098204960*a(n-34) +176286656929*a(n-35) -73436800669*a(n-36) +60984578659*a(n-37) -37794283047*a(n-38) +14268186474*a(n-39) -6067243366*a(n-40) -3203508346*a(n-41) -147436949*a(n-42) -828853190*a(n-43) +1859500430*a(n-44) -548999628*a(n-45) +405432777*a(n-46) -151003874*a(n-47) +82141262*a(n-48) -48408982*a(n-49) +3072808*a(n-50) -3934130*a(n-51) -31698*a(n-52) +24364*a(n-53) -764*a(n-54) +4608*a(n-55)

Example

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

Crossrefs

Cf. A297457.

Sequence in context: A001881 A240683 A108740 * A256178 A372904 A094172

Adjacent sequences: A297452 A297453 A297454 * A297456 A297457 A297458

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved