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A217510 T(n,k)=Number of triangular nXnXn arrays of occupancy after each element either stays or moves to some neighbor and with no occupancy greater than k 6
1, 1, 1, 1, 7, 1, 1, 10, 138, 1, 1, 10, 306, 8353, 1, 1, 10, 342, 34489, 1563486, 1, 1, 10, 351, 44530, 14162520, 896267399, 1, 1, 10, 351, 47356, 22155653, 21101953059, 1563576619949, 1, 1, 10, 351, 47518, 24754099, 42007776880, 113688398105827 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.............1...............1...........1........1.....1...1..1.1

.1.............7..............10..........10.......10....10..10.10

.1...........138.............306.........342......351...351.351

.1..........8353...........34489.......44530....47356.47518

.1.......1563486........14162520....22155653.24754099

.1.....896267399.....21101953059.42007776880

.1.1563576619949.113688398105827

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

Some solutions for n=4 k=4

.....0........2........3........0........0........0........2........2

....1.1......1.1......0.0......0.3......2.0......1.1......0.0......0.0

...1.0.2....2.1.0....1.1.2....3.2.0....0.0.1....2.1.3....0.0.1....0.4.0

..2.0.0.3..1.0.0.2..3.0.0.0..0.1.0.1..1.3.1.2..0.1.1.0..3.0.4.0..1.0.2.1

CROSSREFS

Sequence in context: A229779 A050179 A183352 * A273506 A287326 A131065

Adjacent sequences:  A217507 A217508 A217509 * A217511 A217512 A217513

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 05 2012

STATUS

approved

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Last modified February 18 02:57 EST 2020. Contains 332006 sequences. (Running on oeis4.)