A234212 Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

1248, 7348, 40384, 257116, 1493960, 10151836, 61124816, 436731604, 2691478528, 19921334892, 124589784024, 943832420732, 5956411209864, 45787739783180, 290541956700232, 2253568406359316, 14346530351364936, 111883000131558748

Offset

1,1

Comments

Column 3 of A234217

Links

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

Formula

Empirical: a(n) = 223*a(n-2) -22136*a(n-4) +1303842*a(n-6) -51198565*a(n-8) +1426660738*a(n-10) -29308622249*a(n-12) +455180602960*a(n-14) -5436994724661*a(n-16) +50553279723332*a(n-18) -368988227986457*a(n-20) +2126351180635715*a(n-22) -9709003146923883*a(n-24) +35189269788128342*a(n-26) -101259728165773203*a(n-28) +231060390001397360*a(n-30) -417017561764832798*a(n-32) +592925182387254959*a(n-34) -660503855304387479*a(n-36) +572258984227035715*a(n-38) -381879096938313788*a(n-40) +193753758860748742*a(n-42) -73452183198353516*a(n-44) +20317503519116744*a(n-46) -3966504433028624*a(n-48) +520682605459552*a(n-50) -42615909301440*a(n-52) +1905181236480*a(n-54) -34505662464*a(n-56)

Example

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

Crossrefs

Sequence in context: A251648 A235021 A184500 * A047629 A221012 A233167

Adjacent sequences: A234209 A234210 A234211 * A234213 A234214 A234215

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved