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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 1
7566, 238182, 10599630, 526154358, 26687737998, 1361622567126, 69556988274126, 3554493803008374, 181655826475052430, 9283912580951238486, 474476945914016761038, 24249338412340473326262, 1239323942269866573049230 (list; graph; refs; listen; history; text; internal format)
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: A145313 A235961 A235572 * A205427 A252163 A031585

Adjacent sequences:  A206170 A206171 A206172 * A206174 A206175 A206176

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 04 2012

STATUS

approved

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Last modified September 19 17:35 EDT 2021. Contains 347564 sequences. (Running on oeis4.)