A250358 - OEIS

A250358

Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 3 times

6, 36, 216, 1293, 7712, 45866, 272760, 1621963, 9644496, 57346376, 340979312, 2027446948, 12055094608, 71678940042, 426199029864, 2534155836542, 15067950109140, 89593195408640, 532716168060704, 3167500770096043

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 5 of A250361

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -4*a(n-4) -22*a(n-5) -130*a(n-6) +7*a(n-8) +50*a(n-9) +66*a(n-10) +a(n-12) -6*a(n-13)

EXAMPLE

Some solutions for n=6

..4....5....2....0....1....1....3....0....1....4....2....0....2....3....1....3

..1....2....6....1....6....5....2....2....6....4....2....1....4....1....2....1

..7....6....5....7....6....6....4....7....4....7....2....7....3....7....3....2

..6....6....4....8....6....8....8....4....6....6....8....7....3....4....7....6

..4....6....5....4....9....7....8....8....4....5....9....9....6....4....6....7

.10....8....9....6....5....6....8....6...10....7....8....5....9....8....7....7

CROSSREFS

Sequence in context: A269491 A269773 A269653 * A126634 A216128 A007275

Adjacent sequences: A250355 A250356 A250357 * A250359 A250360 A250361

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2014

STATUS

approved