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A303509 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 52, 230, 1596, 10128, 59086, 377020, 2366996, 14512973, 91007689, 568325707, 3528368086, 22026917288, 137360903740, 855370949486, 5333814182382, 33250480852297, 207209048212942, 1291711060574596, 8051741497047830 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A303513.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +7*a(n-2) +99*a(n-3) -482*a(n-4) -681*a(n-5) -2698*a(n-6) +13485*a(n-7) +22539*a(n-8) +27459*a(n-9) -140267*a(n-10) -302923*a(n-11) -131910*a(n-12) +376792*a(n-13) +1510236*a(n-14) +732682*a(n-15) +1218599*a(n-16) -343697*a(n-17) -2451159*a(n-18) -2797915*a(n-19) -6446588*a(n-20) -3533010*a(n-21) -9167207*a(n-22) -559623*a(n-23) +5168665*a(n-24) +378626*a(n-25) +12277231*a(n-26) +3950243*a(n-27) +13116503*a(n-28) -787054*a(n-29) +5542994*a(n-30) -5097728*a(n-31) -10331014*a(n-32) -930778*a(n-33) -90149*a(n-34) +2007960*a(n-35) -3104789*a(n-36) +2064448*a(n-37) -398462*a(n-38) +878066*a(n-39) -474460*a(n-40) -28751*a(n-41) -88034*a(n-42) +102424*a(n-43) -17942*a(n-44) -12478*a(n-45) +2552*a(n-46) +932*a(n-47) -208*a(n-48) +16*a(n-49) for n>51

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303513.

Sequence in context: A026963 A026973 A244718 * A107584 A323940 A027225

Adjacent sequences:  A303506 A303507 A303508 * A303510 A303511 A303512

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 25 2018

STATUS

approved

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Last modified January 16 19:48 EST 2022. Contains 350376 sequences. (Running on oeis4.)