A282993 - OEIS

A282993

Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors.

24, 291, 3971, 53389, 720417, 9706901, 130854309, 1763845523, 23775564134, 320481684651, 4319920870201, 58230152122968, 784910642479634, 10580166410594089, 142614855902267366, 1922370270814992840

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OFFSET

1,1

COMMENTS

Column 5 of A282996.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +82*a(n-2) +424*a(n-3) +433*a(n-4) -3117*a(n-5) -9658*a(n-6) +8224*a(n-7) +43423*a(n-8) -39527*a(n-9) +4996*a(n-10) -8476*a(n-11) -208460*a(n-12) +596155*a(n-13) -915253*a(n-14) +1321254*a(n-15) -1511538*a(n-16) +1194611*a(n-17) -744475*a(n-18) +454071*a(n-19) -175360*a(n-20) +56609*a(n-21) -83755*a(n-22) -6781*a(n-23) +61170*a(n-24) -17072*a(n-25) -8350*a(n-26) -2485*a(n-27) +1059*a(n-28) +2774*a(n-29) -313*a(n-30) -159*a(n-31) -202*a(n-32) +69*a(n-33) +7*a(n-34) +a(n-35) -a(n-36)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A282996.

Sequence in context: A035475 A288458 A042110 * A295272 A369469 A086941

Adjacent sequences: A282990 A282991 A282992 * A282994 A282995 A282996

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 26 2017

STATUS

approved