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A204402 Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally 1
47883, 347247, 3588983, 45603178, 518498299, 5787193185, 70339685822, 814228386252, 9204305943740, 109804560803318, 1279132641376136, 14612311774229902, 172230893696813240, 2009977920248093908 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A204408

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-2) +1405*a(n-3) +2993*a(n-4) +6990*a(n-5) -315063*a(n-6) -613391*a(n-7) -2273244*a(n-8) +676631*a(n-9) +17849170*a(n-10) -7846430*a(n-11) +10274954*a(n-12) -70166717*a(n-13) +42969746*a(n-14) +240417414*a(n-15) -315371199*a(n-16) -622366785*a(n-17) -1449702147*a(n-18) +678506787*a(n-19) +1613205171*a(n-20) +5474271942*a(n-21) +5320562958*a(n-22) +2946640590*a(n-23) +7655777046*a(n-24) +5086973502*a(n-25) +18357895944*a(n-26) +14540459526*a(n-27) +22148256384*a(n-28) -867311712*a(n-29) for n>32

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A253816 A190927 A251455 * A203929 A234172 A236716

Adjacent sequences: A204399 A204400 A204401 * A204403 A204404 A204405

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified March 22 14:53 EDT 2023. Contains 361430 sequences. (Running on oeis4.)