A206380 Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order

44585, 10690969, 2808967145, 748963157161, 200108001096137, 53482634218458697, 14294968502144130953, 3820826066766517546921, 1021249666781298003730505, 272964826866462882832853641

Offset

1,1

Comments

Column 5 of A206383

Links

R. H. Hardin, Table of n, a(n) for n = 1..72

Formula

Empirical: a(n) = 394*a(n-1) -38562*a(n-2) +1246392*a(n-3) +6334675*a(n-4) -1215511426*a(n-5) +25096715040*a(n-6) -111433495776*a(n-7) -2633554263696*a(n-8) +38447016473440*a(n-9) -124529929487104*a(n-10) -973109346072576*a(n-11) +8528195948079360*a(n-12) -13461810857735680*a(n-13) -67310021223342080*a(n-14) +238037998037753856*a(n-15) +44544280591749120*a(n-16) -947327372288188416*a(n-17) +643157082054918144*a(n-18) +987246769084563456*a(n-19) -892353207989698560*a(n-20)

Example

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

Crossrefs

Sequence in context: A254994 A295480 A206166 * A204786 A248066 A252147

Adjacent sequences: A206377 A206378 A206379 * A206381 A206382 A206383

Keyword

nonn

Author

R. H. Hardin Feb 07 2012

Status

approved