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A206377 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order. 1
85, 1369, 25945, 520097, 10690969, 222329489, 4648291369, 97418918945, 2043949959289, 42905465857457, 900849319640905, 18916269750894785, 397226844350640025, 8341623469422864209, 175172765404628220265 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A206383.

LINKS

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

FORMULA

Empirical: a(n) = 36*a(n-1) - 377*a(n-2) + 1398*a(n-3) - 2064*a(n-4) + 1008*a(n-5).

Empirical g.f.: x*(85 - 1691*x + 8706*x^2 - 16640*x^3 + 10320*x^4) / ((1 - x)*(1 - 2*x)*(1 - 21*x)*(1 - 12*x + 24*x^2)). - Colin Barker, Jun 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206383.

Sequence in context: A297587 A189439 A166917 * A008360 A212474 A020310

Adjacent sequences:  A206374 A206375 A206376 * A206378 A206379 A206380

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 07 2012

STATUS

approved

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Last modified July 15 20:24 EDT 2019. Contains 325056 sequences. (Running on oeis4.)