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A252826 Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down 1

%I

%S 26,339,3891,36292,271846,1679072,8807722,40232545,163307844,

%T 598768118,2009666884,6242686351,18111918515,49456857086,127928520595,

%U 315195592486,743219906659,1684034391078,3679765581966,7778027858175,15947032415637

%N Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down

%C Column 6 of A252828

%H R. H. Hardin, <a href="/A252826/b252826.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (883/1600593426432000)*n^18 + (883/16167610368000)*n^17 + (148963/62768369664000)*n^16 + (6599/108972864000)*n^15 + (8020459/7846046208000)*n^14 + (3062099/249080832000)*n^13 + (813736283/7242504192000)*n^12 + (166116079/201180672000)*n^11 + (1097726573/219469824000)*n^10 + (598115773/24385536000)*n^9 + (466445792503/4828336128000)*n^8 + (272090281/870912000)*n^7 + (19554578278049/23538138624000)*n^6 + (1173600978721/653837184000)*n^5 + (4602055984369/1307674368000)*n^4 + (98334957191/18162144000)*n^3 + (263932729939/30875644800)*n^2 + (3637273/816816)*n + 1

%e Some solutions for n=4

%e ..0..1..2..3..3..3....0..1..2..3..3..3....0..0..1..2..2..2....0..1..1..1..1..2

%e ..1..2..3..3..4..4....1..1..2..3..3..3....1..1..2..2..2..3....0..1..2..2..2..3

%e ..1..2..3..4..4..4....1..2..3..3..4..4....1..1..2..3..3..4....1..2..2..3..3..4

%e ..2..3..4..5..5..5....2..3..3..4..5..5....1..2..3..4..4..5....2..2..3..4..4..5

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 22 2014

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Last modified January 25 17:35 EST 2022. Contains 350572 sequences. (Running on oeis4.)