cp's OEIS Frontend

A252936 Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.

%I A252936 #6 Jul 23 2025 13:46:44
%S A252936 26,176,1343,10920,86488,578342,2952734,11219797,32649081,76641323,
%T A252936 153453179,273544411,447399739,685504923,998345723,1396407899,
%U A252936 1890177211,2490139419,3206780283,4050585563,5032041019,6161632411,7449845499
%N A252936 Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.
%C A252936 Column 6 of A252938
%H A252936 R. H. Hardin, <a href="/A252936/b252936.txt">Table of n, a(n) for n = 1..210</a>
%F A252936 Empirical: a(n) = (5242880/3)*n^3 - 36032512*n^2 + (765093664/3)*n - 618047397 for n>10
%e A252936 Some solutions for n=4
%e A252936 ..0..0..0..1..1..2....0..1..2..2..2..2....0..1..2..2..2..2....0..1..1..1..1..2
%e A252936 ..0..0..0..1..2..2....0..1..2..2..3..3....1..1..2..3..3..3....0..1..1..1..2..2
%e A252936 ..0..1..1..1..2..2....1..1..2..2..3..4....1..2..2..3..3..3....0..1..1..1..2..3
%e A252936 ..1..1..1..1..2..2....2..2..2..3..3..4....2..2..3..3..3..3....0..1..2..2..2..3
%K A252936 nonn
%O A252936 1,1
%A A252936 _R. H. Hardin_, Dec 24 2014