

A222341


Number of (n+4) X 1 arrays of occupancy after each element moves up to +4 places including 0.


1



126, 460, 1690, 6225, 22950, 84626, 312019, 1150208, 4239225, 15621426, 57556155, 212037241, 781074572, 2877011660, 10596599460, 39027676220, 143735627861, 529352597361, 1949472483601, 7179308057596, 26438877143476, 97364252272077
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OFFSET

1,1


COMMENTS

Column 4 of A222345.


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40


FORMULA

Empirical: a(n) = 9*a(n1)  28*a(n2) + 35*a(n3)  15*a(n4) + a(n5).
Empirical g.f.: x*(126  674*x + 1078*x^2  515*x^3 + 35*x^4) / (1  9*x + 28*x^2  35*x^3 + 15*x^4  x^5).  Colin Barker, Aug 16 2018


EXAMPLE

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


CROSSREFS

Cf. A222345.
Sequence in context: A202406 A202399 A201467 * A241270 A135192 A154039
Adjacent sequences: A222338 A222339 A222340 * A222342 A222343 A222344


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 16 2013


STATUS

approved



