A184023 - OEIS

A184023

1/8 the number of (n+1)X4 0..3 arrays with all 2X2 subblock sums the same

242, 491, 1052, 2597, 6650, 18701, 53948, 165929, 520322, 1709981, 5706212, 19735097, 69075290, 248513021, 902117708, 3343884089, 12473559602, 47261525021, 179833241972, 692191519097, 2671565177930, 10398142103741

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OFFSET

1,1

COMMENTS

Column 3 of A184029

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)

EXAMPLE

Some solutions for 6X4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A039665 A259719 A023703 * A211406 A094908 A205594

Adjacent sequences: A184020 A184021 A184022 * A184024 A184025 A184026

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved