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A299362 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
1, 42, 125, 1157, 8134, 66668, 564283, 4792366, 41273307, 355806685, 3074754189, 26588433352, 230013644524, 1990237333473, 17222388357402, 149040506905057, 1289806404480887, 11162201646441563, 96600101532182034, 836000401325847268 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A299366.

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) +15*a(n-2) -224*a(n-3) -401*a(n-4) +2631*a(n-5) +5221*a(n-6) -15126*a(n-7) -46122*a(n-8) +55260*a(n-9) +251317*a(n-10) -107671*a(n-11) -922100*a(n-12) -42547*a(n-13) +2401230*a(n-14) +640621*a(n-15) -4448231*a(n-16) -1361652*a(n-17) +7220914*a(n-18) +758737*a(n-19) -11622856*a(n-20) +494670*a(n-21) +19309670*a(n-22) -691658*a(n-23) -28661585*a(n-24) -1962167*a(n-25) +34000973*a(n-26) +5021643*a(n-27) -31635373*a(n-28) -7967616*a(n-29) +28495029*a(n-30) +8954308*a(n-31) -19157070*a(n-32) -8003583*a(n-33) +9177868*a(n-34) +4417903*a(n-35) -4106648*a(n-36) -1913773*a(n-37) +1138117*a(n-38) +604849*a(n-39) -334330*a(n-40) -92012*a(n-41) +87780*a(n-42) +16556*a(n-43) -13832*a(n-44) -6432*a(n-45) +1248*a(n-46) for n>48

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299366.

Sequence in context: A044674 A261995 A298236 * A304613 A005557 A244102

Adjacent sequences:  A299359 A299360 A299361 * A299363 A299364 A299365

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 08 2018

STATUS

approved

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Last modified February 19 19:30 EST 2020. Contains 332047 sequences. (Running on oeis4.)