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A302468 Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
2, 45, 203, 1401, 8493, 53575, 331044, 2075845, 12918219, 80580322, 502619295, 3134437862, 19546771248, 121911745097, 760295303506, 4741622947607, 29571672780560, 184425813286537, 1150185892959279, 7173237104348896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A302472.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +12*a(n-2) -10*a(n-3) -350*a(n-4) -463*a(n-5) +2158*a(n-6) +6008*a(n-7) +995*a(n-8) -30299*a(n-9) -33211*a(n-10) +23109*a(n-11) +127114*a(n-12) +59583*a(n-13) -65641*a(n-14) -141390*a(n-15) -153776*a(n-16) -125078*a(n-17) +237435*a(n-18) +444475*a(n-19) +30983*a(n-20) -39246*a(n-21) -417333*a(n-22) -168134*a(n-23) -48749*a(n-24) -49299*a(n-25) +488245*a(n-26) -184701*a(n-27) +52666*a(n-28) +43362*a(n-29) -164218*a(n-30) +175669*a(n-31) -96181*a(n-32) -14426*a(n-33) +1645*a(n-34) -17110*a(n-35) +18717*a(n-36) -8816*a(n-37) +738*a(n-38) +18*a(n-39) +434*a(n-40) +306*a(n-41) -156*a(n-42) +144*a(n-43) for n>44

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302472.

Sequence in context: A316444 A316126 A317432 * A303250 A151583 A325935

Adjacent sequences:  A302465 A302466 A302467 * A302469 A302470 A302471

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 08 2018

STATUS

approved

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Last modified September 22 07:48 EDT 2021. Contains 347605 sequences. (Running on oeis4.)