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A204522 Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..3 introduced in row major order 1
3700, 99975, 2838990, 72357582, 1908820114, 51725097532, 1365072053705, 36097389558491, 963601913333651, 25587580363278980, 678631104416699064, 18046297209664043910, 479517671229129135064, 12732949974318602571176 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204525

LINKS

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

FORMULA

Empirical: a(n) = 19*a(n-1) +20*a(n-2) +6715*a(n-3) -39400*a(n-4) -278721*a(n-5) -566831*a(n-6) -4070692*a(n-7) +120891967*a(n-8) +449176991*a(n-9) -2026661677*a(n-10) -12813924036*a(n-11) -26746085584*a(n-12) +9786213012*a(n-13) +884506182436*a(n-14) +5741310584350*a(n-15) -3455066401652*a(n-16) -69861234867780*a(n-17) -169629596856776*a(n-18) -60851219675756*a(n-19) +1748089724633264*a(n-20) +3473211354730872*a(n-21) +9499905146549464*a(n-22) +3113390646548208*a(n-23) -124798919635015376*a(n-24) -237138944821841424*a(n-25) +133795161307775232*a(n-26) -71068703870450688*a(n-27) +4068396008822617920*a(n-28) +376322753879088768*a(n-29) -4563721857649730688*a(n-30) -361633579086451968*a(n-31) -41875485211919288448*a(n-32) +47298545358942585600*a(n-33) -6639913657255177728*a(n-34) +18106112374211584512*a(n-35) +150992321107533290496*a(n-36) -302390206675970669568*a(n-37) +278083184567959664640*a(n-38) -232178806239185018880*a(n-39) -169014772365536894976*a(n-40) +474715662297209634816*a(n-41) -421697490050246639616*a(n-42) +297839000295167754240*a(n-43) -49361960604404809728*a(n-44) -68780555329635090432*a(n-45) +24179394483616481280*a(n-46) for n>49

EXAMPLE

Some solutions for n=3

..0..0..0....0..0..0....0..1..1....0..0..0....0..1..1....0..1..1....0..0..0

..0..0..1....0..0..1....0..2..1....1..1..2....0..1..0....2..0..2....0..0..1

..1..1..2....1..1..2....1..2..1....2..0..0....0..2..2....2..1..0....2..1..3

..0..0..0....0..0..0....2..3..1....1..1..1....3..3..3....3..3..3....2..2..2

..2..3..3....0..2..1....0..0..0....3..0..2....0..3..3....2..3..3....1..1..3

CROSSREFS

Sequence in context: A108004 A176386 A204525 * A294088 A252694 A184471

Adjacent sequences:  A204519 A204520 A204521 * A204523 A204524 A204525

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified June 14 10:04 EDT 2021. Contains 345025 sequences. (Running on oeis4.)