cp's OEIS Frontend

A224151 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.

%I A224151 #6 Jul 23 2025 05:00:51
%S A224151 8,64,357,1536,5471,16885,46586,117510,275557,608423,1277544,2571226,
%T A224151 4991541,9394324,17211567,30799955,53979914,92858530,157069847,
%U A224151 261620888,429605663,696147855,1114062432,1761895136,2755216271,4262322913
%N A224151 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C A224151 Row 7 of A224146
%H A224151 R. H. Hardin, <a href="/A224151/b224151.txt">Table of n, a(n) for n = 1..210</a>
%F A224151 Empirical: a(n) = (1/87178291200)*n^14 + (1/4151347200)*n^13 + (1/136857600)*n^12 + (19/106444800)*n^11 + (53/12441600)*n^10 + (121/1382400)*n^9 + (1007857/609638400)*n^8 + (427321/29030400)*n^7 + (5519/62208)*n^6 + (217709/604800)*n^5 + (8736011/8553600)*n^4 + (1790117/950400)*n^3 + (90367957/37837800)*n^2 + (49717/40040)*n + 1
%e A224151 Some solutions for n=3
%e A224151 ..0..0..0....0..0..0....0..0..0....1..1..0....0..0..0....1..1..1....0..1..0
%e A224151 ..0..1..0....0..0..0....0..0..0....1..1..1....0..1..0....1..1..1....0..1..0
%e A224151 ..0..1..0....0..1..0....0..0..0....1..1..1....0..1..0....1..1..1....0..1..1
%e A224151 ..0..1..0....0..1..1....0..0..0....1..1..1....0..1..0....1..1..1....0..1..1
%e A224151 ..0..1..1....0..1..1....0..1..1....1..1..1....1..1..0....1..1..1....1..1..1
%e A224151 ..0..1..1....0..1..1....0..1..1....1..1..1....1..1..0....1..1..1....1..1..1
%e A224151 ..1..1..1....1..1..1....0..1..1....1..1..1....1..1..1....1..1..1....1..1..1
%K A224151 nonn
%O A224151 1,1
%A A224151 _R. H. Hardin_ Mar 31 2013