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A298656 Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 2
2, 13, 19, 40, 85, 173, 322, 635, 1325, 2806, 5877, 12293, 25318, 52348, 110032, 230666, 481721, 1008645, 2105418, 4397869, 9221888, 19306816, 40379476, 84574182, 176999321, 370432095, 776067635, 1625005774, 3401774504, 7125184125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A298660.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-3) -14*a(n-4) -a(n-5) +33*a(n-6) -58*a(n-7) +8*a(n-8) +31*a(n-9) +257*a(n-10) -83*a(n-11) -415*a(n-12) +258*a(n-13) +257*a(n-14) -701*a(n-15) -1280*a(n-16) +817*a(n-17) +2138*a(n-18) -1277*a(n-19) -1528*a(n-20) +3841*a(n-21) +4395*a(n-22) -4674*a(n-23) -3840*a(n-24) +6126*a(n-25) +1522*a(n-26) -10670*a(n-27) -7803*a(n-28) +11150*a(n-29) +1242*a(n-30) -18501*a(n-31) +5389*a(n-32) +19940*a(n-33) -6561*a(n-34) -14251*a(n-35) +20541*a(n-36) +18531*a(n-37) -24833*a(n-38) -10425*a(n-39) +29434*a(n-40) +13173*a(n-41) -23604*a(n-42) -9671*a(n-43) +14824*a(n-44) -2310*a(n-45) -14701*a(n-46) -6124*a(n-47) +4664*a(n-48) +2279*a(n-49) -4344*a(n-50) +3221*a(n-51) +5148*a(n-52) -1564*a(n-53) -1655*a(n-54) +410*a(n-55) -29*a(n-56) +385*a(n-57) +1679*a(n-58) +770*a(n-59) -1293*a(n-60) -895*a(n-61) +499*a(n-62) +423*a(n-63) -72*a(n-64) -174*a(n-65) -69*a(n-66) +20*a(n-67) +16*a(n-68) +10*a(n-69) +5*a(n-70) -2*a(n-71) -a(n-72) for n>73

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A298660.

Sequence in context: A206462 A020601 A298051 * A027705 A296938 A296199

Adjacent sequences:  A298653 A298654 A298655 * A298657 A298658 A298659

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 24 2018

STATUS

approved

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Last modified January 28 06:29 EST 2020. Contains 331317 sequences. (Running on oeis4.)