A248484 Number of length n+5 0..3 arrays with some three disjoint pairs in each consecutive six terms having the same sum.

724, 844, 988, 1156, 1348, 1564, 1804, 2284, 2860, 3532, 4300, 5164, 6124, 8044, 10348, 13036, 16108, 19564, 23404, 31084, 40300, 51052, 63340, 77164, 92524, 123244, 160108, 203116, 252268, 307564, 369004, 491884, 639340, 811372, 1007980

Offset

1,1

Links

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

Formula

Empirical: a(n) = a(n-1) + 4*a(n-6) - 4*a(n-7).

Empirical g.f.: 4*x*(181 + 30*x + 36*x^2 + 42*x^3 + 48*x^4 + 54*x^5 - 664*x^6) / ((1 - x)*(1 - 2*x^3)*(1 + 2*x^3)). - Colin Barker, Nov 08 2018

Example

Some solutions for n=6:
..2....3....3....2....2....2....0....3....2....1....1....2....3....1....2....1
..0....2....3....1....1....0....1....1....3....2....1....3....1....0....3....0
..1....3....1....3....2....3....2....2....2....3....0....1....1....0....1....0
..0....1....1....1....3....3....2....2....1....1....2....2....3....2....1....0
..1....1....3....3....0....0....1....1....3....3....3....1....2....2....0....1
..2....2....1....2....1....1....0....3....1....2....2....0....2....1....2....1
..2....0....3....2....2....2....0....0....2....1....1....2....0....1....2....1
..0....2....3....1....1....0....1....1....0....2....1....0....1....0....3....0
..1....0....1....3....2....3....2....2....2....0....0....1....1....0....1....0
..0....1....1....1....3....3....2....2....1....1....2....2....0....2....1....0
..1....1....3....3....3....0....1....1....0....0....0....1....2....2....0....1

Crossrefs

Column 3 of A248489.

Sequence in context: A035756 A107552 A232261 * A247894 A023680 A002769

Adjacent sequences: A248481 A248482 A248483 * A248485 A248486 A248487

Keyword

nonn

Author

R. H. Hardin, Oct 07 2014

Status

approved