A297599 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

1, 85, 597, 1977, 18577, 163704, 975485, 6551844, 50398161, 352390358, 2398926979, 17125942248, 121877564552, 851145373245, 5985375126147, 42335812708116, 298062036716448, 2096304373306315, 14776780052329473, 104136065922562829

Offset

1,2

Comments

Row 6 of A297595.

Links

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

Formula

Empirical: a(n) = a(n-1) +12*a(n-2) +206*a(n-3) +513*a(n-4) -732*a(n-5) -12596*a(n-6) -41052*a(n-7) -4710*a(n-8) +377637*a(n-9) +1101532*a(n-10) +366692*a(n-11) -4343819*a(n-12) -12490935*a(n-13) -9276248*a(n-14) +15909019*a(n-15) +71212770*a(n-16) +61679513*a(n-17) +21749848*a(n-18) -140969781*a(n-19) -237463915*a(n-20) -163497345*a(n-21) -435237443*a(n-22) +473778443*a(n-23) +950680659*a(n-24) +3170197500*a(n-25) +3748925010*a(n-26) +2206798374*a(n-27) -317152120*a(n-28) -4875492868*a(n-29) -5969143264*a(n-30) -534214988*a(n-31) +2304486028*a(n-32) +2576130508*a(n-33) -2467773439*a(n-34) +650799326*a(n-35) -1914397174*a(n-36) +953402425*a(n-37) +521148604*a(n-38) +357576020*a(n-39) -85114712*a(n-40) -158612761*a(n-41) -10014570*a(n-42) +14399616*a(n-43) +3440613*a(n-44) +176856*a(n-45) -189896*a(n-46) -768*a(n-47) -77056*a(n-48) +7168*a(n-49)

Example

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

Crossrefs

Cf. A297595.

Sequence in context: A250463 A339870 A183777 * A173470 A202009 A194533

Adjacent sequences: A297596 A297597 A297598 * A297600 A297601 A297602

Keyword

nonn

Author

R. H. Hardin, Jan 01 2018

Status

approved