A232315 Number of (n+1)X(7+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero

1784, 196698, 22161823, 2499669158, 281959315373, 31805180533255, 3587649343841650, 404689731634719335, 45649328032459819031, 5149281019623345273371, 580843052186352251086893

Offset

1,1

Comments

Column 7 of A232316

Links

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

Formula

Empirical: a(n) = 141*a(n-1) -3378*a(n-2) +21209*a(n-3) +130164*a(n-4) -1632986*a(n-5) -1334372*a(n-6) +50173398*a(n-7) -17669770*a(n-8) -851814078*a(n-9) +566664547*a(n-10) +8298312643*a(n-11) -6773841647*a(n-12) -41349039011*a(n-13) +57182971805*a(n-14) +100779202558*a(n-15) -263951756782*a(n-16) -31349979351*a(n-17) +610312404926*a(n-18) -356266779364*a(n-19) -574818621993*a(n-20) +533901016004*a(n-21) -116525671276*a(n-22) +147213549964*a(n-23) +588901546623*a(n-24) -685413663937*a(n-25) -479062341184*a(n-26) +407490489945*a(n-27) +182418293712*a(n-28) -49631689847*a(n-29) -20468478023*a(n-30) +616705146*a(n-31) +416198455*a(n-32) +31964045*a(n-33) -141509*a(n-34) -15786*a(n-35) -972*a(n-36) +a(n-37) for n>40

Example

Some solutions for n=2
..0..0..0..0..0..0..0..0....0..0..1..0..0..0..0..0....0..0..1..1..0..0..0..0
..0..0..1..0..0..0..1..1....0..1..1..0..0..1..1..0....0..0..0..0..0..0..0..0
..0..1..0..0..1..1..1..1....1..0..0..1..1..1..0..0....1..1..1..0..1..1..1..1

Crossrefs

Sequence in context: A175693 A317628 A114075 * A013593 A152943 A202401

Adjacent sequences: A232312 A232313 A232314 * A232316 A232317 A232318

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved