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A204475 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 exactly three ways, and new values 0..3 introduced in row major order 1
80, 307, 1157, 1899, 7191, 24718, 70726, 277992, 996500, 3558732, 13565616, 51046854, 192347648, 730397369, 2770971357, 10530282255, 40019308588, 152140400520, 578605689115, 2200549646588, 8369694858448, 31835066870337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204483

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +22*a(n-3) -22*a(n-4) +60*a(n-5) -12*a(n-6) -448*a(n-7) +1866*a(n-8) -6498*a(n-9) +15684*a(n-10) -22888*a(n-11) +31417*a(n-12) -57462*a(n-13) +52230*a(n-14) +113688*a(n-15) -424149*a(n-16) +557158*a(n-17) -411880*a(n-18) +403956*a(n-19) -471132*a(n-20) -17430*a(n-21) +839565*a(n-22) -1046718*a(n-23) +545742*a(n-24) -113292*a(n-25) +131571*a(n-26) -347004*a(n-27) +373977*a(n-28) -80190*a(n-29) -271188*a(n-30) +354294*a(n-31) -190269*a(n-32) +39366*a(n-33)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A194646 A057441 A204483 * A157953 A233958 A233951

Adjacent sequences:  A204472 A204473 A204474 * A204476 A204477 A204478

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified January 18 00:56 EST 2021. Contains 340249 sequences. (Running on oeis4.)