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A223071 T(n,k)=Number of nXk 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.

%I A223071 #6 Jul 23 2025 03:27:29
%S A223071 4,16,16,64,150,64,256,1080,1080,256,1024,6627,38512,6627,1024,4096,
%T A223071 36552,899390,899390,36552,4096,16384,187000,22520656,59844888,
%U A223071 22520656,187000,16384,65536,905440,462313688,4842450790,4842450790,462313688
%N A223071 T(n,k)=Number of nXk 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.
%C A223071 Table starts
%C A223071 ......4......16.........64..........256..........1024.........4096
%C A223071 .....16.....150.......1080.........6627.........36552.......187000
%C A223071 .....64....1080......38512.......899390......22520656....462313688
%C A223071 ....256....6627.....899390.....59844888....4842450790.268351320214
%C A223071 ...1024...36552...22520656...4842450790.1962060592992
%C A223071 ...4096..187000..462313688.268351320214
%C A223071 ..16384..905440.9567328752
%C A223071 ..65536.4206453
%C A223071 .262144
%H A223071 R. H. Hardin, <a href="/A223071/b223071.txt">Table of n, a(n) for n = 1..49</a>
%e A223071 Some solutions for n=3 k=4
%e A223071 ..3..2..0..1....1..0..0..1....2..2..2..2....3..0..0..1....3..2..2..1
%e A223071 ..1..0..2..2....0..0..2..2....3..0..0..3....1..2..0..0....1..2..2..0
%e A223071 ..0..1..2..3....0..1..1..3....1..1..1..1....2..0..0..2....2..1..1..3
%Y A223071 Column 1 is A000302
%K A223071 nonn,tabl
%O A223071 1,1
%A A223071 _R. H. Hardin_ Mar 14 2013