A206173 Number of 5X(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

7566, 238182, 10599630, 526154358, 26687737998, 1361622567126, 69556988274126, 3554493803008374, 181655826475052430, 9283912580951238486, 474476945914016761038, 24249338412340473326262, 1239323942269866573049230

Offset

1,1

Comments

Row 4 of A206169

Links

R. H. Hardin, Table of n, a(n) for n = 1..94

Formula

Empirical: a(n) = 56*a(n-1) +456*a(n-2) -39352*a(n-3) -34802*a(n-4) +11171648*a(n-5) -13122200*a(n-6) -1683933432*a(n-7) +3150972781*a(n-8) +150157165048*a(n-9) -306037231512*a(n-10) -8315004801408*a(n-11) +16418689080408*a(n-12) +290940321892032*a(n-13) -530173145158992*a(n-14) -6430873844504880*a(n-15) +10691431333128297*a(n-16) +89212552369342056*a(n-17) -137284826957648712*a(n-18) -772840127333187576*a(n-19) +1119417831060679350*a(n-20) +4169317975104649536*a(n-21) -5734329723412512984*a(n-22) -14005155678216709464*a(n-23) +18392800450061228427*a(n-24) +28975458499899160680*a(n-25) -36522779580082867752*a(n-26) -35550691451531386704*a(n-27) +43238482722793040004*a(n-28) +23504910388393904064*a(n-29) -27737731642915897344*a(n-30) -6398289766745501184*a(n-31) +7365473103579123456*a(n-32)

Example

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

Crossrefs

Sequence in context: A235961 A235572 A351382 * A205427 A252163 A031585

Adjacent sequences: A206170 A206171 A206172 * A206174 A206175 A206176

Keyword

nonn

Author

R. H. Hardin Feb 04 2012

Status

approved