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A222098 Number of n X 2 0..5 arrays with entries increasing mod 6 by 0, 1, 2 or 3 rightwards and downwards, starting with upper left zero. 1
4, 46, 530, 6108, 70394, 811286, 9350020, 107758398, 1241908834, 14312922076, 164955536810, 1901102303238, 21910085816324, 252512376457166, 2910189435065650, 33539752256081628, 386543558932945114 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A222104.

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) - 17*a(n-2).

Conjectures from Colin Barker, Aug 15 2018: (Start)

G.f.: 2*x*(2 - 3*x) / (1 - 13*x + 17*x^2).

a(n) = (2^(-n)*((13-sqrt(101))^n*(-29+3*sqrt(101)) + (13+sqrt(101))^n*(29+3*sqrt(101)))) / (17*sqrt(101)).

(End)

EXAMPLE

Some solutions for n=3:

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

..0..1....3..0....3..3....3..0....0..1....2..4....3..0....3..3....2..3....1..3

..0..1....5..0....0..0....0..2....2..3....2..4....4..1....3..0....4..5....4..4

CROSSREFS

Cf. A222104.

Sequence in context: A097952 A097643 A155652 * A197131 A235132 A236956

Adjacent sequences:  A222095 A222096 A222097 * A222099 A222100 A222101

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 07 2013

STATUS

approved

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Last modified February 25 21:00 EST 2020. Contains 332258 sequences. (Running on oeis4.)