A206165 - OEIS

A206165

Number of (n+1)X5 0..3 arrays with every 2X2 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

5257, 196078, 13899222, 526154358, 37242588902, 1412613762182, 99795262195942, 3792559398258150, 267412693827257062, 10182112342596159814, 716565655722012651878, 27336312034927725448230, 1920135265326220468069670

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A206169

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2697*a(n-2) -2261*a(n-3) -62984*a(n-4) +18588*a(n-5) +148188*a(n-6) +441756*a(n-7) -1398384*a(n-8) +632448*a(n-9) +6137856*a(n-10) for n>11

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A093182 A124658 A256745 * A206379 A234229 A143936

Adjacent sequences: A206162 A206163 A206164 * A206166 A206167 A206168

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 04 2012

STATUS

approved