The On-Line Encyclopedia of Integer Sequences (OEIS)

A298226 revision #3

A298226

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

5, 16, 17, 195, 490, 2606, 15646, 74688, 397909, 2172360, 11380566, 60631430, 325152997, 1728286947, 9215894735, 49218645591, 262327473375, 1399145008769, 7465029674488, 39810676235989, 212342781125559, 1132682956110103

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OFFSET

1,1

COMMENTS

Column 4 of A298230.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +7*a(n-2) +53*a(n-3) -232*a(n-4) -308*a(n-5) -590*a(n-6) +4313*a(n-7) +3326*a(n-8) -275*a(n-9) -33661*a(n-10) -3750*a(n-11) +34619*a(n-12) +97423*a(n-13) -102142*a(n-14) -129702*a(n-15) +42710*a(n-16) +453288*a(n-17) -191477*a(n-18) -553360*a(n-19) -215979*a(n-20) +1609482*a(n-21) -195851*a(n-22) -2386398*a(n-23) -546805*a(n-24) +4132384*a(n-25) +1003867*a(n-26) -7275172*a(n-27) -207426*a(n-28) +9905631*a(n-29) +3119003*a(n-30) -10615571*a(n-31) -5141402*a(n-32) +8332419*a(n-33) +8109079*a(n-34) -3922996*a(n-35) -10219033*a(n-36) -7778489*a(n-37) +4353156*a(n-38) +5882154*a(n-39) -2124795*a(n-40) -9254272*a(n-41) +159018*a(n-42) +4829413*a(n-43) +7423302*a(n-44) +7099748*a(n-45) +12036958*a(n-46) +7705063*a(n-47) -1434288*a(n-48) -13492716*a(n-49) -11913233*a(n-50) -4219196*a(n-51) +2931767*a(n-52) +3319849*a(n-53) +645459*a(n-54) -167241*a(n-55) +152274*a(n-56) +1027296*a(n-57) +441490*a(n-58) -53356*a(n-59) -306724*a(n-60) -139701*a(n-61) -13875*a(n-62) +12538*a(n-63) +10063*a(n-64) -527*a(n-65) -84*a(n-66) for n>68

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298230.

Sequence in context: A217361 A168463 A227871 * A298150 A238586 A195958

Adjacent sequences: A298223 A298224 A298225 * A298227 A298228 A298229

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

editing