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A300969 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
2, 37, 459, 5362, 63565, 753471, 8926774, 105763972, 1253091915, 14846642172, 175903151550, 2084102123563, 24692460772840, 292556498411436, 3466212038154745, 41067711567915135, 486570617974927297 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A300973.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) -52*a(n-2) +28*a(n-3) +56*a(n-4) +123*a(n-5) -596*a(n-6) +202*a(n-7) +1114*a(n-8) +244*a(n-9) -3131*a(n-10) -352*a(n-11) +4162*a(n-12) +2026*a(n-13) -4839*a(n-14) -3744*a(n-15) +7609*a(n-16) +18297*a(n-17) -1782*a(n-18) -28845*a(n-19) -7069*a(n-20) +33095*a(n-21) +2775*a(n-22) -27095*a(n-23) -2505*a(n-24) +18334*a(n-25) +1817*a(n-26) -8564*a(n-27) -484*a(n-28) +3474*a(n-29) -1170*a(n-30) -1450*a(n-31) +1068*a(n-32) +757*a(n-33) -464*a(n-34) -280*a(n-35) +95*a(n-36) +80*a(n-37) -13*a(n-38) -12*a(n-39) +a(n-41) for n>42

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300973.

Sequence in context: A297796 A300542 A100849 * A120047 A300926 A337306

Adjacent sequences:  A300966 A300967 A300968 * A300970 A300971 A300972

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 17 2018

STATUS

approved

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Last modified September 21 00:14 EDT 2021. Contains 347596 sequences. (Running on oeis4.)