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A252928 Number of nX6 nonnegative integer arrays with upper left 0 and lower right n+6-6 and value increasing by 0 or 1 with every step right or down 1
5, 120, 2859, 53950, 762227, 8241540, 71297441, 512868867, 3160111147, 17063990547, 82211677028, 358529577294, 1432148475494, 5291678799968, 18236349617760, 59031011794076, 180569195179185, 524679580969208 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A252930

LINKS

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

FORMULA

Empirical: a(n) = (331/583128197117706240000)*n^24 + (331/3738001263575040000)*n^23 + (31687/5070679974936576000)*n^22 + (9719/36584992604160000)*n^21 + (83457079/10948059036794880000)*n^20 + (2293999511/14597412049059840000)*n^19 + (70133801/28810681675776000)*n^18 + (11352513167/384142422343680000)*n^17 + (39752887/135444234240000)*n^16 + (18525490537/7532204359680000)*n^15 + (1041895258531/59655058528665600)*n^14 + (51595236448757/497125487738880000)*n^13 + (383722831905761/745688231608320000)*n^12 + (7387354289669/3476402012160000)*n^11 + (96126694933271/13557967847424000)*n^10 + (3074811780539/156920924160000)*n^9 + (7254553057678669/144053408378880000)*n^8 + (5122046760654749/48017802792960000)*n^7 + (615467828621/1796401152000)*n^6 + (481180027609747/666913927680000)*n^5 + (6796574742313/5225109120000)*n^4 + (10424925937303/10188962784000)*n^3 - (3393867242681/1060137318240)*n^2 + (7032359801/2677114440)*n + 2

EXAMPLE

Some solutions for n=4

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

..1..2..2..2..3..3....1..2..2..3..4..4....1..1..1..1..1..2....1..1..2..2..3..4

..2..3..3..3..4..4....2..3..3..3..4..4....1..1..2..2..2..3....1..1..2..3..3..4

..2..3..3..3..4..4....2..3..3..3..4..4....2..2..2..2..3..4....1..2..3..3..4..4

CROSSREFS

Sequence in context: A322707 A160695 A158564 * A308363 A192639 A099123

Adjacent sequences:  A252925 A252926 A252927 * A252929 A252930 A252931

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 24 2014

STATUS

approved

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Last modified October 27 03:29 EDT 2021. Contains 348270 sequences. (Running on oeis4.)