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A297541 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. 1
1, 38, 197, 1233, 12161, 94647, 754342, 6315609, 51451261, 419287301, 3440823171, 28151759126, 230214373993, 1884441078027, 15421094331443, 126179660318827, 1032563574110030, 8449625624399977, 69142892935838625, 565800834676196151 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A297544.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +6*a(n-2) +155*a(n-3) -320*a(n-4) -693*a(n-5) -4997*a(n-6) -233*a(n-7) +18446*a(n-8) +54785*a(n-9) +74938*a(n-10) -96705*a(n-11) -141692*a(n-12) -577495*a(n-13) -381242*a(n-14) -61652*a(n-15) +137212*a(n-16) +2109779*a(n-17) -985889*a(n-18) +3157081*a(n-19) -2697127*a(n-20) -1446343*a(n-21) +4917847*a(n-22) -1617916*a(n-23) +9946573*a(n-24) +6569073*a(n-25) +7562648*a(n-26) -5314261*a(n-27) -3981456*a(n-28) -8541002*a(n-29) -14454297*a(n-30) -2043588*a(n-31) +1756817*a(n-32) +3406323*a(n-33) +4985432*a(n-34) +911966*a(n-35) -2187806*a(n-36) -1234552*a(n-37) -7367402*a(n-38) +1222556*a(n-39) -5205982*a(n-40) +2083486*a(n-41) -1209353*a(n-42) +1558920*a(n-43) +249369*a(n-44) +411843*a(n-45) +38223*a(n-46) +4006*a(n-47) +23004*a(n-48) -27954*a(n-49) -33818*a(n-50) -15404*a(n-51) +2096*a(n-52) +3336*a(n-53) +536*a(n-54)

EXAMPLE

Some solutions for n=5

..0..0..1..1..0. .0..0..0..0..0. .0..0..1..1..0. .0..0..0..1..0

..0..0..0..1..1. .0..0..1..1..0. .0..0..0..1..1. .0..0..1..1..1

..0..0..1..0..0. .1..1..0..1..1. .0..0..0..0..0. .0..0..1..0..0

..1..1..0..0..0. .0..1..0..1..0. .0..0..1..1..1. .0..1..0..0..0

..0..1..1..0..0. .1..1..1..0..0. .0..0..0..1..1. .1..1..1..0..0

CROSSREFS

Cf. A297544.

Sequence in context: A100168 A137022 A160064 * A235079 A005910 A281769

Adjacent sequences:  A297538 A297539 A297540 * A297542 A297543 A297544

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 31 2017

STATUS

approved

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Last modified September 26 12:33 EDT 2021. Contains 347665 sequences. (Running on oeis4.)