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A298255 Number of nX4 0..1 arrays with every element equal to 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 1
0, 2, 4, 11, 23, 72, 201, 597, 1705, 5141, 15305, 45558, 136366, 408269, 1222895, 3664732, 10990002, 32961810, 98879571, 296674303, 890217834, 2671430941, 8017066909, 24060553805, 72211714389, 216729874503, 650484059608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298259.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +4*a(n-3) -7*a(n-4) +9*a(n-5) +46*a(n-7) -92*a(n-8) +143*a(n-9) -88*a(n-10) -22*a(n-11) -115*a(n-12) +9*a(n-13) -231*a(n-14) -30*a(n-15) +726*a(n-16) -359*a(n-17) +521*a(n-18) -497*a(n-19) +2917*a(n-20) -2314*a(n-21) -435*a(n-22) +66*a(n-23) -272*a(n-24) -3177*a(n-25) -3089*a(n-26) +4256*a(n-27) +2549*a(n-28) -1942*a(n-29) -1138*a(n-30) +8259*a(n-31) -3970*a(n-32) +431*a(n-33) +2386*a(n-34) -3147*a(n-35) -1866*a(n-36) +196*a(n-37) -83*a(n-38) -673*a(n-39) +507*a(n-40) -882*a(n-41) +1079*a(n-42) +6*a(n-43) +719*a(n-44) -428*a(n-45) +106*a(n-46) -146*a(n-47) +149*a(n-48) -44*a(n-49) -20*a(n-50) -18*a(n-51) +2*a(n-52) +4*a(n-53) for n>54

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298259.

Sequence in context: A307881 A006452 A104430 * A298926 A292157 A256801

Adjacent sequences:  A298252 A298253 A298254 * A298256 A298257 A298258

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified August 3 04:47 EDT 2021. Contains 346435 sequences. (Running on oeis4.)