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A206171 Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order. 1
102, 1070, 14182, 196078, 2728486, 38016046, 529805350, 7383933550, 102911463910, 1434302337070, 19990233287398, 278608949740270, 3883043657285542, 54118965415458862, 754269763387561894 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A206169.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) - 21*a(n-2) - 120*a(n-3) + 153*a(n-4) + 216*a(n-5) - 243*a(n-6).

Empirical g.f.: 2*x*(51 - 281*x - 398*x^2 + 1938*x^3 + 927*x^4 - 2997*x^5) / ((1 - x)*(1 - 3*x)*(1 - 3*x^2)*(1 - 12*x - 27*x^2)). - Colin Barker, Jun 14 2018

EXAMPLE

Some solutions for n=4:

  0 0 0 0 0    0 0 0 0 1    0 1 1 1 0    0 0 0 0 0

  0 1 0 2 0    0 2 0 1 2    0 0 1 0 2    0 1 0 1 0

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

CROSSREFS

Cf. A206169.

Sequence in context: A230704 A151964 A088805 * A199830 A200452 A204859

Adjacent sequences:  A206168 A206169 A206170 * A206172 A206173 A206174

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2012

STATUS

approved

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Last modified November 16 17:25 EST 2019. Contains 329201 sequences. (Running on oeis4.)