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A227060 T(n,k)=Number of nXk -2..2 arrays of 2X2 subblock diagonal sums minus antidiagonal sums for some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order 6
4, 10, 10, 20, 40, 20, 35, 124, 124, 35, 56, 329, 643, 329, 56, 84, 777, 2934, 2934, 777, 84, 120, 1673, 11810, 24511, 11810, 1673, 120, 165, 3341, 42295, 183000, 183000, 42295, 3341, 165, 220, 6269, 136553, 1202223, 2625106, 1202223, 136553, 6269, 220 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...4....10......20........35..........56............84..............120

..10....40.....124.......329.........777..........1673.............3341

..20...124.....643......2934.......11810.........42295...........136553

..35...329....2934.....24511......183000.......1202223..........6979049

..56...777...11810....183000.....2625106......33345171........371484306

..84..1673...42295...1202223....33345171.....836488605......18470742252

.120..3341..136553...6979049...371484306...18470742252.....818230288186

.165..6269..402898..36211854..3651371505..358194085953...31887670171357

.220.11164.1099681.170079551.32017940207.6148026957082.1096628939510030

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

FORMULA

Empirical for column k:

k=1: a(n) = (1/6)*n^3 + 1*n^2 + (11/6)*n + 1

k=2: [polynomial of degree 7]

k=3: [polynomial of degree 15]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0.-1....0..1.-2..0....0..0..1.-2....1.-2..0..1....0..1..0..0

..0.-2..0..0....0.-2..1..1....0..1.-2..2....0..0..1.-1....1.-2..1..0

..0..0..1.-1....0..1..0.-1....0..0..1.-1...-1..1.-1..0...-2..1.-1..1

CROSSREFS

Column 1 is A000292(n+1)

Sequence in context: A310334 A310335 A310336 * A278727 A184129 A202581

Adjacent sequences:  A227057 A227058 A227059 * A227061 A227062 A227063

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jun 30 2013

STATUS

approved

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Last modified July 15 04:34 EDT 2020. Contains 335763 sequences. (Running on oeis4.)