A243602 - OEIS

A243602

Number of length n+2 0..5 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..5 introduced in 0..5 order.

4, 10, 29, 97, 365, 1511, 6726, 31544, 153328, 763187, 3857651, 19692114, 101153422, 521664456, 2697067469, 13966320059, 72395025823, 375501794607, 1948456098176, 10113010271486, 52497770870256, 272549948856853, 1415076190551061

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OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) - 48*a(n-2) + 65*a(n-3) + 18*a(n-4) - 74*a(n-5) - 9*a(n-6) + 26*a(n-7) + 10*a(n-8) + a(n-9).

Empirical g.f.: x*(4 - 38*x + 101*x^2 - 31*x^3 - 129*x^4 + 18*x^5 + 63*x^6 + 21*x^7 + 2*x^8) / ((1 - x)*(1 - x - x^2)*(1 - 2*x - x^2)*(1 - 3*x - x^2)*(1 - 5*x - x^2)). - Colin Barker, Nov 02 2018

EXAMPLE

Some solutions for n=5:

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

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

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

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

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

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

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

CROSSREFS

Column 5 of A243607.

Sequence in context: A264158 A152808 A243601 * A243603 A243604 A243605

Adjacent sequences: A243599 A243600 A243601 * A243603 A243604 A243605

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 07 2014

STATUS

approved