

A205343


Number of length 6 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.


1



0, 24, 138, 454, 1130, 2370, 4424, 7588, 12204, 18660, 27390, 38874, 53638, 72254, 95340, 123560, 157624, 198288, 246354, 302670, 368130, 443674, 530288, 629004, 740900, 867100, 1008774, 1167138, 1343454, 1539030, 1755220, 1993424, 2255088
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OFFSET

1,2


COMMENTS

Row 5 of A205341.


LINKS

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


FORMULA

Empirical: a(n) = (23/12)*n^4  (1/2)*n^3 + (1/12)*n^2  (3/2)*n.
Conjectures from Colin Barker, Jun 11 2018: (Start)
G.f.: 2*x^2*(12 + 9*x + 2*x^2) / (1  x)^5.
a(n) = 5*a(n1)  10*a(n2) + 10*a(n3)  5*a(n4) + a(n5) for n>5.
(End)


EXAMPLE

Some solutions for n=5:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..5....4....3....4....2....4....3....5....5....3....5....4....5....1....1....1
..1....2....2....9....5....7....6....6....2....6....0....2....2....0....6....5
..5....0....5....8....1....3....7....8....6....4....5....0....1....2....9....9
..3....4....1....5....5....1....2....4....2....5....2....1....5....1....5....4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0


CROSSREFS

Cf. A205341.
Sequence in context: A093699 A275405 A223409 * A267631 A305681 A199827
Adjacent sequences: A205340 A205341 A205342 * A205344 A205345 A205346


KEYWORD

nonn


AUTHOR

R. H. Hardin, Jan 26 2012


STATUS

approved



