A179112 T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j and rows and columns in nondecreasing lexicographic order

2, 4, 4, 6, 18, 6, 9, 64, 64, 9, 12, 193, 629, 193, 12, 16, 501, 5191, 5191, 501, 16, 20, 1180, 35084, 127771, 35084, 1180, 20, 25, 2529, 201142, 2563468, 2563468, 201142, 2529, 25, 30, 5080, 1001345, 42356325, 157360559, 42356325, 1001345, 5080, 30, 36

Offset

1,1

Comments

Table starts

..2.....4........6...........9.............12..............16..............20

..4....18.......64.........193............501............1180............2529

..6....64......629........5191..........35084..........201142.........1001345

..9...193.....5191......127771........2563468........42356325.......590679221

.12...501....35084.....2563468......157360559......7926791154....333098446431

.16..1180...201142....42356325.....7926791154...1231063084249.158993797153025

.20..2529..1001345...590679221...333098446431.158993797153025

.25..5080..4446018..7140764807.11973522235788

.30..9593.17889927.76331242612

.36.17298.66227888

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Crossrefs

Column 1 is A002620(n+2)

Sequence in context: A002086 A039830 A159788 * A359119 A096612 A218707

Adjacent sequences: A179109 A179110 A179111 * A179113 A179114 A179115

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved