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A298217 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 2
8, 29, 40, 120, 503, 1492, 4767, 17127, 56292, 185937, 631054, 2112217, 7064306, 23731748, 79558981, 266764528, 894854496, 3000540755, 10063476031, 33751763853, 113185610212, 379602276002, 1273102896061, 4269537734069 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A298221.

LINKS

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

FORMULA

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

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298221.

Sequence in context: A299183 A155578 A115107 * A299093 A299875 A035339

Adjacent sequences:  A298214 A298215 A298216 * A298218 A298219 A298220

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified October 15 16:06 EDT 2018. Contains 316236 sequences. (Running on oeis4.)