|
| |
|
|
A252818
|
|
Number of n X 6 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.
|
|
1
|
|
|
|
16, 147, 1032, 5490, 23664, 86724, 279300, 809349, 2147638, 5289321, 12219498, 26705926, 55598468, 110890224, 212893984, 395014703, 710759820, 1243830839, 2122388828, 3538891338, 5777267504, 9249641452, 14545342212, 22495562705
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Column 6 of A252820.
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
|
FORMULA
|
Empirical: a(n) = (1/11404800)*n^12 + (1/211200)*n^11 + (37/345600)*n^10 + (143/103680)*n^9 + (27977/2419200)*n^8 + (83399/1209600)*n^7 + (319693/1036800)*n^6 + (34283/34560)*n^5 + (59941/28800)*n^4 + (482543/129600)*n^3 + (720359/277200)*n^2 + (44551/13860)*n + 3.
|
|
|
EXAMPLE
|
Some solutions for n=4
..0..1..2..3..4..5....0..1..2..3..4..5....0..1..2..3..3..4....0..1..2..2..3..4
..1..2..2..3..4..5....1..2..3..4..4..5....1..2..3..4..4..5....1..2..2..2..3..4
..2..3..3..3..4..5....2..2..3..4..5..5....1..2..3..4..5..5....2..3..3..3..4..5
..3..3..3..4..5..6....3..3..4..5..5..6....1..2..3..4..5..6....3..4..4..4..5..6
|
|
|
CROSSREFS
|
Cf. A252820.
Sequence in context: A125379 A232063 A126537 * A232957 A214513 A254952
Adjacent sequences: A252815 A252816 A252817 * A252819 A252820 A252821
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin, Dec 22 2014
|
|
|
STATUS
|
approved
|
| |
|
|
