A229432 Number of n X 2 0..6 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..2 array.

43, 1213, 31111, 775213, 19122559, 469959685, 11533872679, 282921116029, 6938596265551, 170155677219253, 4172626399905079, 102321795525685549, 2509141498799895007, 61529237938446659557, 1508820887930727002695

Offset

1,1

Links

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

Formula

Empirical: a(n) = 37*a(n-1) - 342*a(n-2) + 936*a(n-3) - 1296*a(n-4).

Empirical g.f.: x*(1 - 6*x)*(43 - 120*x + 216*x^2) / (1 - 37*x + 342*x^2 - 936*x^3 + 1296*x^4). - Colin Barker, Sep 15 2018

Example

Some solutions for n=2:
..6..6....3..2....4..0....6..5....6..3....3..5....2..0....5..3....3..1....4..3
..5..6....1..5....3..1....4..3....5..2....5..6....3..2....1..4....0..1....5..5

Crossrefs

Column 2 of A229437.

Sequence in context: A288031 A265658 A214100 * A122575 A014938 A235646

Adjacent sequences: A229429 A229430 A229431 * A229433 A229434 A229435

Keyword

nonn

Author

R. H. Hardin, Sep 23 2013

Status

approved