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A185475 Number of (n+2)X9 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 1

%I

%S 336690,3212372,20411234,100908633,416227164,1497314456,4845252741,

%T 14425457557,40183952539,106069534256,267851235385,651716593546,

%U 1535886293189,3519099305097,7860273371841,17147427400925,36585315520514

%N Number of (n+2)X9 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

%C Column 7 of A185477

%H R. H. Hardin, <a href="/A185475/b185475.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = (1/25519951134720000)*n^21

%F + (1/127919554560000)*n^20

%F + (1877/2551995113472000)*n^19

%F + (101861/2328135892992000)*n^18

%F + (10763959/5820339732480000)*n^17

%F + (24725641/418455797760000)*n^16

%F + (836589317/564915326976000)*n^15

%F + (22655691343/753220435968000)*n^14

%F + (5887296211331/11298306539520000)*n^13

%F + (436620904451/52672757760000)*n^12

%F + (3650470717199/28970016768000)*n^11

%F + (2036750095277/1170505728000)*n^10

%F + (1572848084986607/79009136640000)*n^9

%F + (1160407108626427/6584094720000)*n^8

%F + (2296534278781759/1975228416000)*n^7

%F + (525799308273622787/94152554496000)*n^6

%F + (25696337451699745273/1333827855360000)*n^5

%F + (2682952836795541619/55576160640000)*n^4

%F + (124299364108443341/1407929402880)*n^3

%F + (73695052155737/701719200)*n^2

%F + (1503827501467/23279256)*n

%F + 4299

%e Some solutions for 4X9

%e ..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 28 2011

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Last modified June 27 04:37 EDT 2022. Contains 354888 sequences. (Running on oeis4.)