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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. 1
0, 5, 13, 15, 233, 1052, 5774, 36119, 204522, 1203863, 7063610, 41315402, 242353922, 1420326554, 8325054183, 48802463232, 286063056675, 1676854045711, 9829437819950, 57618311538634, 337748584486200, 1979822597040999 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 9 13:57 EDT 2020. Contains 336323 sequences. (Running on oeis4.)