A299048 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

5, 16, 40, 455, 1650, 10706, 76068, 445597, 2902533, 19204880, 121652513, 790850405, 5141909319, 33135126906, 214855459081, 1392224798269, 9005556603052, 58337331135135, 377789663876767, 2445748153198451

Offset

1,1

Comments

Column 4 of A299052.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +17*a(n-2) +91*a(n-3) -441*a(n-4) -1412*a(n-5) -1795*a(n-6) +14444*a(n-7) +38743*a(n-8) +4354*a(n-9) -219442*a(n-10) -445582*a(n-11) +215939*a(n-12) +1755120*a(n-13) +1856749*a(n-14) -2851789*a(n-15) -7056619*a(n-16) +1896568*a(n-17) +16599843*a(n-18) +7411988*a(n-19) -36570210*a(n-20) -48189209*a(n-21) +30887758*a(n-22) +117508143*a(n-23) +66164602*a(n-24) -107676097*a(n-25) -194033556*a(n-26) -32507518*a(n-27) +189427489*a(n-28) +153275440*a(n-29) -48740284*a(n-30) -186966176*a(n-31) -55538244*a(n-32) +153463562*a(n-33) +178445765*a(n-34) -74905690*a(n-35) -229954672*a(n-36) -76342848*a(n-37) +126582799*a(n-38) +88979427*a(n-39) -6412703*a(n-40) -3164622*a(n-41) -2717580*a(n-42) -20660957*a(n-43) -20947988*a(n-44) +5951972*a(n-45) +11311952*a(n-46) +1501468*a(n-47) -813181*a(n-48) -801514*a(n-49) -581210*a(n-50) -130320*a(n-51) +42224*a(n-52) +57304*a(n-53) +22016*a(n-54) +2560*a(n-55) for n>58

Example

Some solutions for n=5
..0..0..1..0. .0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..1
..1..1..1..1. .0..0..0..0. .0..0..1..1. .1..0..0..0. .1..1..0..0
..0..0..1..1. .1..0..1..1. .0..0..1..1. .1..1..0..0. .1..1..0..0
..0..0..1..1. .0..0..1..1. .0..0..1..0. .1..1..1..0. .1..1..1..0
..1..1..1..1. .1..0..0..0. .0..0..1..0. .0..1..0..1. .0..1..1..0

Crossrefs

Cf. A299052.

Sequence in context: A361074 A309403 A073459 * A081997 A078449 A257199

Adjacent sequences: A299045 A299046 A299047 * A299049 A299050 A299051

Keyword

nonn

Author

R. H. Hardin, Feb 01 2018

Status

approved