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A283729 Number of 4Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 1
0, 36, 1304, 15228, 185564, 2258212, 25260000, 278215520, 3023291712, 32251956888, 340430533518, 3561745440716, 36963685994638, 381138870886696, 3908244620747464, 39880799122343264, 405240128230119230 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 4 of A283726.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) -36*a(n-2) -60*a(n-3) -2824*a(n-4) +6678*a(n-5) +26842*a(n-6) +118692*a(n-7) -419608*a(n-8) -1491346*a(n-9) +317571*a(n-10) +8792678*a(n-11) +14707123*a(n-12) -19320158*a(n-13) -68768256*a(n-14) -39266756*a(n-15) +109017454*a(n-16) +213826284*a(n-17) +7506917*a(n-18) -211952462*a(n-19) -255284484*a(n-20) -102114938*a(n-21) +272678092*a(n-22) +193703130*a(n-23) +51860112*a(n-24) +22331788*a(n-25) -191765939*a(n-26) -61918424*a(n-27) -9275857*a(n-28) -17862812*a(n-29) +101684959*a(n-30) +8797290*a(n-31) -23032735*a(n-32) +11615934*a(n-33) -14849452*a(n-34) -5258668*a(n-35) +4609246*a(n-36) +769830*a(n-37) +648759*a(n-38) -260876*a(n-39) -221306*a(n-40) +32660*a(n-41) -1881*a(n-42) +9408*a(n-43) -712*a(n-44) -320*a(n-45) -16*a(n-46)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A283726.

Sequence in context: A041613 A255821 A209042 * A203333 A226772 A158739

Adjacent sequences:  A283726 A283727 A283728 * A283730 A283731 A283732

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 15 2017

STATUS

approved

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Last modified November 19 11:09 EST 2019. Contains 329319 sequences. (Running on oeis4.)