A297862 Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero.

0, 5, 13, 15, 233, 1052, 5774, 36119, 204522, 1203863, 7063610, 41315402, 242353922, 1420326554, 8325054183, 48802463232, 286063056675, 1676854045711, 9829437819950, 57618311538634, 337748584486200, 1979822597040999

Offset

1,2

Comments

Column 4 of A297866.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +18*a(n-2) +24*a(n-3) -114*a(n-4) -401*a(n-5) -329*a(n-6) +1190*a(n-7) +3949*a(n-8) +1718*a(n-9) -9232*a(n-10) -13360*a(n-11) +6310*a(n-12) +27202*a(n-13) +4808*a(n-14) -35274*a(n-15) -7370*a(n-16) +45927*a(n-17) +2489*a(n-18) -80194*a(n-19) -16993*a(n-20) +76260*a(n-21) -63083*a(n-22) -34702*a(n-23) +174350*a(n-24) +120762*a(n-25) -122016*a(n-26) -253870*a(n-27) +76977*a(n-28) +340582*a(n-29) +226883*a(n-30) -310077*a(n-31) -452901*a(n-32) -23530*a(n-33) +245634*a(n-34) +196417*a(n-35) +3046*a(n-36) -44326*a(n-37) -34904*a(n-38) -15551*a(n-39) +5541*a(n-40) +7150*a(n-41) +812*a(n-42) +436*a(n-43) -586*a(n-44) -254*a(n-45) +28*a(n-46) +8*a(n-47) for n>50

Example

Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
..0..1..1..1. .1..0..0..1. .0..0..0..1. .0..1..1..1. .0..1..1..0
..1..0..0..0. .1..1..0..0. .1..1..1..1. .0..0..0..0. .0..1..0..1
..1..0..1..0. .1..0..1..1. .1..0..0..1. .0..1..1..0. .1..0..0..1
..1..0..1..1. .0..0..1..1. .1..0..1..0. .0..1..0..0. .1..0..1..0
..1..0..1..0. .0..1..0..0. .0..1..1..0. .0..0..1..0. .0..1..1..0
..1..1..0..0. .1..1..1..0. .0..0..0..0. .0..1..1..1. .0..0..0..0

Crossrefs

Cf. A297866.

Sequence in context: A335695 A067696 A050598 * A298129 A158334 A282747

Adjacent sequences: A297859 A297860 A297861 * A297863 A297864 A297865

Keyword

nonn

Author

R. H. Hardin, Jan 07 2018

Status

approved