A206172 Number of 4X(n+1) 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order

870, 17142, 463878, 13899222, 431954406, 13703317686, 440473683078, 14283616280598, 465930004254822, 15258594360495222, 501007066854539526, 16478709230048972886, 542620670913354491622, 17881085207300419763766

Offset

1,1

Comments

Row 3 of A206169

Links

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

Formula

Empirical: a(n) = 69*a(n-1) -1494*a(n-2) +9190*a(n-3) +49137*a(n-4) -662493*a(n-5) +655164*a(n-6) +11804292*a(n-7) -31347567*a(n-8) -49939173*a(n-9) +213341850*a(n-10) -92654442*a(n-11) -92175489*a(n-12) +40920957*a(n-13)

Example

Some solutions for n=4
..0..0..1..1..2....0..0..0..0..0....0..0..0..0..1....0..0..1..0..0
..2..2..2..0..0....0..1..0..1..0....0..1..0..2..0....1..2..1..2..2
..1..2..1..2..0....1..0..1..0..1....3..1..3..1..3....1..1..0..1..2
..3..2..0..2..1....1..1..3..1..1....0..3..0..3..2....0..2..2..1..2

Crossrefs

Sequence in context: A283449 A351878 A158669 * A205426 A035855 A317806

Adjacent sequences: A206169 A206170 A206171 * A206173 A206174 A206175

Keyword

nonn

Author

R. H. Hardin Feb 04 2012

Status

approved