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A223391
T(n,k) is the number of (n+2) X k 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.
6
11, 121, 31, 388, 961, 105, 4794, 5450, 11025, 342, 40416, 188958, 120738, 116964, 1044, 375698, 4182458, 14855514, 2326103, 1089936, 3159, 4128762, 101698908, 1030363654, 993542957, 40102656, 9979281, 9735, 41424210, 2972878486, 80122222262, 208801521397, 53115687500, 663777212, 94770225, 28302
OFFSET
1,1
LINKS
EXAMPLE
Table starts:
....11.......121.........388..........4794..........40416.........375698
....31.......961........5450........188958........4182458......101698908
...105.....11025......120738......14855514.....1030363654....80122222262
...342....116964.....2326103.....993542957...208801521397.49244499538437
..1044...1089936....40102656...53115687500.31140652265964
..3159...9979281...663777212.2791742360102
..9735..94770225.11304765020
.28302.801003204
.87129
Some solutions for n=1 and k=4:
..2..0..2..2....2..2..2..2....1..0..0..2....1..1..2..2....1..1..1..1
..1..0..0..0....1..0..0..0....1..0..0..0....1..1..0..0....1..0..0..1
..2..2..0..1....1..0..0..2....2..1..1..1....2..2..0..0....2..2..1..2
CROSSREFS
Sequence in context: A081122 A004190 A089707 * A337707 A084969 A045592
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 19 2013
STATUS
approved