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A204526 Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order 1
4110, 145760, 5541588, 179863061, 6251895139, 219672303729, 7527325628251, 260515164220350, 9034135988074736, 312077272232149320, 10795972978922037394, 373607288747906689460, 12921463109943989630915 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204530

LINKS

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

FORMULA

Empirical: a(n) = 42*a(n-1) -301*a(n-2) +7018*a(n-3) -246711*a(n-4) +1932028*a(n-5) +2956054*a(n-6) -27523156*a(n-7) -196432901*a(n-8) -585532890*a(n-9) +1746322505*a(n-10) +19859147886*a(n-11) +85680786975*a(n-12) +244983505210*a(n-13) +471589858737*a(n-14) +708315338882*a(n-15) +1028518018933*a(n-16) -308544484564*a(n-17) -5887364298507*a(n-18) -9565015392486*a(n-19) -2220382977630*a(n-20) +20089270038078*a(n-21) +33101395043625*a(n-22) -8587017266310*a(n-23) -56057358242907*a(n-24) -56089092902292*a(n-25) +84889500711327*a(n-26) +116281828075266*a(n-27) -127122688030410*a(n-28) -25838416895256*a(n-29) -43554241685556*a(n-30) +128735304733800*a(n-31) -18317461921848*a(n-32) -31118306226480*a(n-33) -17176063735008*a(n-34) +2036118835008*a(n-35) +24101915171328*a(n-36) -7475100774912*a(n-37) -1936872705024*a(n-38) -1823418003456*a(n-39) +749538717696*a(n-40) +857652240384*a(n-41) -325066162176*a(n-42)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A077188 A077190 A204530 * A206342 A031828 A205581

Adjacent sequences:  A204523 A204524 A204525 * A204527 A204528 A204529

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified July 11 00:56 EDT 2020. Contains 335600 sequences. (Running on oeis4.)