cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A224161 Number of 5Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

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%I A224161 #6 Jul 23 2025 05:01:29
%S A224161 32,324,900,1783,3469,6786,13283,25624,48339,88755,158358,274636,
%T A224161 463580,763045,1227226,1932567,2985495,4532457,6772837,9975443,
%U A224161 14499382,20820285,29563005,41542090,57811531,79725503,109012056,147861974
%N A224161 Number of 5Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.
%C A224161 Row 5 of A224158
%H A224161 R. H. Hardin, <a href="/A224161/b224161.txt">Table of n, a(n) for n = 1..210</a>
%F A224161 Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (13/60480)*n^8 - (1/2688)*n^7 + (15793/172800)*n^6 - (10013/11520)*n^5 + (3158927/362880)*n^4 - (461413/12096)*n^3 + (13189843/50400)*n^2 - (797567/840)*n + 2301 for n>6
%e A224161 Some solutions for n=3
%e A224161 ..0..0..0....0..1..0....0..0..0....1..1..0....0..1..1....0..0..1....0..1..0
%e A224161 ..0..0..0....1..0..0....0..0..1....1..0..0....1..1..0....0..1..0....1..0..0
%e A224161 ..1..1..0....0..0..0....1..1..0....0..0..0....1..1..0....1..0..0....0..1..1
%e A224161 ..1..1..1....1..0..0....1..0..0....0..1..0....1..0..0....0..1..0....1..1..0
%e A224161 ..1..1..1....1..0..0....1..0..0....1..1..1....1..0..0....1..1..0....1..0..0
%K A224161 nonn
%O A224161 1,1
%A A224161 _R. H. Hardin_ Mar 31 2013