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A303036 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
5, 21, 28, 74, 197, 544, 1686, 5252, 16336, 52895, 174633, 585706, 2005396, 6966921, 24490114, 86986183, 311425171, 1121853996, 4061084204, 14755768611, 53766216246, 196333300490, 718099046548, 2629697794146, 9638889966861 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A303040.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +17*a(n-3) -73*a(n-4) -27*a(n-5) -86*a(n-6) +412*a(n-7) +715*a(n-8) +717*a(n-9) -678*a(n-10) -2990*a(n-11) -4820*a(n-12) -4520*a(n-13) -1759*a(n-14) +2115*a(n-15) +10728*a(n-16) +26758*a(n-17) +47806*a(n-18) +55437*a(n-19) +28104*a(n-20) -39265*a(n-21) -114473*a(n-22) -130982*a(n-23) -83874*a(n-24) -24037*a(n-25) -59472*a(n-26) -179450*a(n-27) -261480*a(n-28) -146144*a(n-29) +102190*a(n-30) +239624*a(n-31) +64037*a(n-32) -296364*a(n-33) -461631*a(n-34) -174575*a(n-35) +392211*a(n-36) +747124*a(n-37) +685309*a(n-38) +266070*a(n-39) -93667*a(n-40) -163661*a(n-41) -10697*a(n-42) +100455*a(n-43) +76977*a(n-44) -44571*a(n-45) -130982*a(n-46) -137118*a(n-47) -73015*a(n-48) -9401*a(n-49) +21851*a(n-50) +21527*a(n-51) -1519*a(n-52) -8400*a(n-53) -687*a(n-54) -302*a(n-55) +1732*a(n-56) +4267*a(n-57) +3151*a(n-58) +551*a(n-59) -1037*a(n-60) -1149*a(n-61) -351*a(n-62) +325*a(n-63) +201*a(n-64) -52*a(n-65) -62*a(n-66) +4*a(n-67) +13*a(n-68) -a(n-70)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303040.

Sequence in context: A303965 A304351 A305914 * A305343 A186304 A316235

Adjacent sequences: A303033 A303034 A303035 * A303037 A303038 A303039

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 17 2018

STATUS

approved

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Last modified February 1 14:40 EST 2023. Contains 359993 sequences. (Running on oeis4.)