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.

A219681 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array.

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%I A219681 #6 Jul 23 2025 00:35:57
%S A219681 6,8,31,99,269,655,1506,3356,7278,15335,31362,62286,120292,226281,
%T A219681 415250,744464,1305597,2242405,3775972,6240154,10130551,16171179,
%U A219681 25404010,39307716,59953312,90205963,133984022,196588422,285117878,408987989
%N A219681 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array.
%C A219681 Column 3 of A219686
%H A219681 R. H. Hardin, <a href="/A219681/b219681.txt">Table of n, a(n) for n = 1..210</a>
%F A219681 Empirical: a(n) = (1/39916800)*n^11 - (1/3628800)*n^10 + (1/362880)*n^9 + (5/24192)*n^8 - (5639/1209600)*n^7 + (11267/172800)*n^6 - (26249/90720)*n^5 - (45251/36288)*n^4 + (5226461/226800)*n^3 - (303403/3150)*n^2 + (229729/1386)*n - 88 for n>4
%e A219681 Some solutions for n=3
%e A219681 ..0..0..0....2..1..1....0..0..0....1..0..0....1..0..0....1..0..0....0..0..0
%e A219681 ..0..0..0....2..1..1....0..0..0....1..0..0....0..0..0....1..0..0....0..0..0
%e A219681 ..2..1..1....2..1..1....1..1..1....1..1..2....0..0..2....2..0..0....2..0..0
%K A219681 nonn
%O A219681 1,1
%A A219681 _R. H. Hardin_ Nov 25 2012