A231994 Number of (n+1)X(5+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one

81, 1225, 28900, 674041, 15594601, 362293156, 8404672329, 195072388900, 4526898777801, 105058031047524, 2438091190374961, 56581345271408896, 1313093651031910225, 30473226515305728361, 707198080089528623376

Offset

1,1

Comments

Column 5 of A231997

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +179*a(n-2) -2319*a(n-3) -6465*a(n-4) +94400*a(n-5) +4135*a(n-6) -1470735*a(n-7) +1313306*a(n-8) +11370092*a(n-9) -15268354*a(n-10) -49210967*a(n-11) +80813004*a(n-12) +124534656*a(n-13) -241975664*a(n-14) -181214096*a(n-15) +440235929*a(n-16) +133638297*a(n-17) -500004759*a(n-18) -15377732*a(n-19) +357539404*a(n-20) -51988544*a(n-21) -160824989*a(n-22) +43049434*a(n-23) +44820649*a(n-24) -16338828*a(n-25) -7424574*a(n-26) +3443248*a(n-27) +659756*a(n-28) -412295*a(n-29) -21425*a(n-30) +26930*a(n-31) -745*a(n-32) -861*a(n-33) +64*a(n-34) +10*a(n-35) -a(n-36)

Example

Some solutions for n=3
..0..0..0..0..0..0....0..0..1..0..0..0....0..0..0..0..0..0....1..0..0..0..0..1
..1..0..0..0..1..0....0..1..0..1..1..1....0..1..0..0..1..0....0..1..0..0..1..1
..1..0..0..1..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0
..0..0..1..0..0..1....0..1..1..0..0..0....0..1..0..0..0..0....0..0..0..0..0..1

Crossrefs

Sequence in context: A374144 A236010 A230677 * A236790 A232876 A224355

Adjacent sequences: A231991 A231992 A231993 * A231995 A231996 A231997

Keyword

nonn

Author

R. H. Hardin, Nov 16 2013

Status

approved