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A297855 Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 king-move adjacent elements, with upper left element zero. 1
3, 23, 21, 53, 45, 81, 130, 186, 203, 313, 533, 737, 1132, 1722, 2282, 3719, 5672, 8216, 12567, 18631, 27784, 41385, 63526, 95485, 142633, 216863, 319973, 486432, 733798, 1104890, 1675037, 2510078, 3780690, 5691817, 8606387, 13011832, 19628345 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A297858.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-3) +3*a(n-4) +3*a(n-5) +2*a(n-6) -a(n-7) -11*a(n-8) -16*a(n-9) -23*a(n-10) -11*a(n-11) +16*a(n-12) +25*a(n-13) +41*a(n-14) +4*a(n-15) -45*a(n-16) -25*a(n-17) -28*a(n-18) +90*a(n-19) +162*a(n-20) +128*a(n-21) +113*a(n-22) -175*a(n-23) -215*a(n-24) -261*a(n-25) -113*a(n-26) +119*a(n-27) +260*a(n-28) +151*a(n-29) +142*a(n-30) -421*a(n-31) -438*a(n-32) -840*a(n-33) -376*a(n-34) +213*a(n-35) +1246*a(n-36) +1426*a(n-37) +587*a(n-38) -1027*a(n-39) -1652*a(n-40) -938*a(n-41) +731*a(n-42) +1379*a(n-43) +1500*a(n-44) +927*a(n-45) +785*a(n-46) +387*a(n-47) -935*a(n-48) -2457*a(n-49) -3071*a(n-50) -1858*a(n-51) +1321*a(n-52) +3166*a(n-53) +2512*a(n-54) -460*a(n-55) -3218*a(n-56) -2132*a(n-57) +448*a(n-58) +2336*a(n-59) +1574*a(n-60) -478*a(n-61) -478*a(n-62) +520*a(n-63) +948*a(n-64) -112*a(n-65) -1672*a(n-66) -1288*a(n-67) +92*a(n-68) +1192*a(n-69) +992*a(n-70) +16*a(n-71) -488*a(n-72) -392*a(n-73) -64*a(n-74) +96*a(n-75) +64*a(n-76) for n>81

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297858.

Sequence in context: A212998 A157819 A122902 * A298090 A298052 A298885

Adjacent sequences:  A297852 A297853 A297854 * A297856 A297857 A297858

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 07 2018

STATUS

approved

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Last modified May 30 13:54 EDT 2020. Contains 334724 sequences. (Running on oeis4.)