A278090 - OEIS

A278090

Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

0, 10, 66, 670, 6285, 61123, 588464, 5678912, 54772100, 528291059, 5095556995, 49147698150, 474042768177, 4572257358586, 44100568184205, 425360912028239, 4102711750257189, 39571674020829499, 381678627996456181

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OFFSET

1,2

COMMENTS

Column 4 of A278094.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +54*a(n-2) -103*a(n-3) -918*a(n-4) +786*a(n-5) +8086*a(n-6) -4408*a(n-7) -45868*a(n-8) +24616*a(n-9) +183624*a(n-10) -117990*a(n-11) -530375*a(n-12) +343831*a(n-13) +1039812*a(n-14) -535859*a(n-15) -1198564*a(n-16) +527719*a(n-17) +525705*a(n-18) -722698*a(n-19) +101062*a(n-20) +428138*a(n-21) -1021*a(n-22) +532091*a(n-23) +129197*a(n-24) -510311*a(n-25) -171880*a(n-26) -29549*a(n-27) +39422*a(n-28) +32189*a(n-29) +16319*a(n-30) -2030*a(n-31) -2334*a(n-32) +36*a(n-33) for n>35

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A278094.

Sequence in context: A250790 A377917 A231886 * A266443 A108275 A086443

Adjacent sequences: A278087 A278088 A278089 * A278091 A278092 A278093

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 11 2016

STATUS

approved