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A185476 Number of (n+2)X10 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 1

%I #5 Mar 31 2012 12:36:01

%S 636698,6763143,46732687,247920339,1090826214,4179700035,14425457557,

%T 45945546278,137459779979,391292289484,1069448946626,2823755277643,

%U 7231630113468,18008053766767,43669946969427,103231986144218

%N Number of (n+2)X10 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

%C Column 8 of A185477

%H R. H. Hardin, <a href="/A185476/b185476.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = (1/3655545353349120000)*n^23

%F + (97/1543957043650560000)*n^22

%F + (43/6288115959595008)*n^21

%F + (37903/80205560709120000)*n^20

%F + (4363319/187146308321280000)*n^19

%F + (111930887/128047474114560000)*n^18

%F + (173896301/6722492391014400)*n^17

%F + (999595589/1614043791360000)*n^16

%F + (966949557157/79088145776640000)*n^15

%F + (2303051708719/11298306539520000)*n^14

%F + (762601942063/254936147558400)*n^13

%F + (260118396674119/6373403688960000)*n^12

%F + (6455418497147533/12167407042560000)*n^11

%F + (10938624786824941/1738201006080000)*n^10

%F + (15334472267219503/243348140851200)*n^9

%F + (54278261336966987/108637562880000)*n^8

%F + (9086167557375919/3017710080000)*n^7

%F + (11925742307499655463/889218570240000)*n^6

%F + (6823870134571712569/157688093122560)*n^5

%F + (7908447122576853679/78218300160000)*n^4

%F + (17170767258622048961/100380151872000)*n^3

%F + (406964817911133233/2151003254400)*n^2

%F + (2131730921383/19612560)*n

%F + 6377

%e Some solutions for 4X10

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 28 2011

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)