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Number of nX7 nonnegative integer arrays with upper left 0 and lower right n+7-6 and value increasing by 0 or 1 with every step right or down
2

%I #4 Dec 24 2014 19:44:16

%S 15,483,13976,315198,5385305,71297441,759337545,6725497344,

%T 50869309436,335549742230,1963313662947,10332594393296,49485574097413,

%U 217813226273441,888570804281664,3384240524056852,12109669540486657

%N Number of nX7 nonnegative integer arrays with upper left 0 and lower right n+7-6 and value increasing by 0 or 1 with every step right or down

%C Column 7 of A252930

%H R. H. Hardin, <a href="/A252929/b252929.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252929/a252929.txt">Empirical polynomial of degree 28</a>

%F Empirical polynomial of degree 28 (see link above)

%e Some solutions for n=3

%e ..0..1..1..1..1..2..3....0..1..1..2..3..3..4....0..1..2..2..3..3..4

%e ..1..1..1..2..2..3..3....1..2..2..2..3..3..4....0..1..2..2..3..3..4

%e ..2..2..2..2..3..4..4....2..2..2..3..3..3..4....1..2..2..2..3..3..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 24 2014