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A298217 Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 2

%I

%S 8,29,40,120,503,1492,4767,17127,56292,185937,631054,2112217,7064306,

%T 23731748,79558981,266764528,894854496,3000540755,10063476031,

%U 33751763853,113185610212,379602276002,1273102896061,4269537734069

%N Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298221.

%H R. H. Hardin, <a href="/A298217/b298217.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -11*a(n-2) +32*a(n-3) -138*a(n-4) +224*a(n-5) -368*a(n-6) +1235*a(n-7) -1868*a(n-8) +2080*a(n-9) -5635*a(n-10) +9285*a(n-11) -8454*a(n-12) +16479*a(n-13) -28898*a(n-14) +25968*a(n-15) -40279*a(n-16) +50969*a(n-17) -43414*a(n-18) +79083*a(n-19) -54736*a(n-20) +12979*a(n-21) -105882*a(n-22) +112035*a(n-23) -13439*a(n-24) +255596*a(n-25) -310403*a(n-26) +478633*a(n-27) -930265*a(n-28) +858817*a(n-29) -1702940*a(n-30) +1971247*a(n-31) -2226803*a(n-32) +2552458*a(n-33) -2408058*a(n-34) +2736267*a(n-35) -1588493*a(n-36) +1220759*a(n-37) -400636*a(n-38) -737088*a(n-39) +1659402*a(n-40) -2666348*a(n-41) +3475947*a(n-42) -3391507*a(n-43) +3776859*a(n-44) -3557617*a(n-45) +2063197*a(n-46) -2026150*a(n-47) +771111*a(n-48) -400300*a(n-49) +72335*a(n-50) +401038*a(n-51) -110320*a(n-52) +335466*a(n-53) -209550*a(n-54) +76246*a(n-55) -117724*a(n-56) +33156*a(n-57) -14592*a(n-58) +12184*a(n-59) -1048*a(n-60) +448*a(n-61) -48*a(n-62) for n>65.

%e Some solutions for n=7

%e ..0..0..0..1. .0..1..1..0. .0..1..1..0. .0..1..1..1. .0..0..0..0

%e ..1..0..0..0. .1..0..0..1. .0..0..1..0. .0..1..0..1. .1..0..0..1

%e ..1..0..1..1. .1..0..0..1. .0..0..1..1. .1..1..0..0. .0..1..1..0

%e ..0..0..1..0. .1..0..1..0. .1..0..1..1. .1..1..1..1. .0..1..1..1

%e ..1..1..1..0. .0..0..0..1. .1..1..1..0. .0..1..0..0. .1..1..0..0

%e ..0..0..1..1. .1..1..0..0. .0..0..1..0. .0..1..0..1. .1..1..0..1

%e ..1..1..0..0. .0..0..1..1. .0..1..1..0. .0..1..0..0. .1..0..1..0

%Y Cf. A298221.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2018

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Last modified July 1 06:55 EDT 2022. Contains 354952 sequences. (Running on oeis4.)