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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.

A229776 Number of 4X4 0..n arrays with rows in lexicographically nondecreasing order and columns in nonincreasing order.

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%I A229776 #6 Jul 23 2025 05:46:59
%S A229776 70,12958,1058494,35452250,637396928,7379634620,61734072288,
%T A229776 402537583863,2155573868470,9841145888530,39380724254950,
%U A229776 141067066333648,459822149867432,1381730749348760,3867950992777232,10173948824534685
%N A229776 Number of 4X4 0..n arrays with rows in lexicographically nondecreasing order and columns in nonincreasing order.
%C A229776 Row 4 of A229774
%H A229776 R. H. Hardin, <a href="/A229776/b229776.txt">Table of n, a(n) for n = 1..42</a>
%F A229776 Empirical: a(n) = (1/5040)*n^16 + (17/5040)*n^15 + (89/3360)*n^14 + (143/1120)*n^13 + (307/720)*n^12 + (307/288)*n^11 + (64247/30240)*n^10 + (53933/15120)*n^9 + (10645/2016)*n^8 + (71609/10080)*n^7 + (44/5)*n^6 + (14447/1440)*n^5 + (8975/864)*n^4 + (20359/2160)*n^3 + (3505/504)*n^2 + (1543/420)*n + 1
%e A229776 Some solutions for n=3
%e A229776 ..2..2..0..0....2..0..0..0....0..0..0..0....0..0..0..0....2..2..0..0
%e A229776 ..2..2..3..0....2..2..2..1....2..1..0..0....2..2..0..0....2..2..3..0
%e A229776 ..3..1..0..0....2..2..2..2....2..2..3..1....2..2..0..0....3..2..0..1
%e A229776 ..3..3..1..2....3..1..1..1....3..1..2..1....3..0..3..2....3..3..1..3
%K A229776 nonn
%O A229776 1,1
%A A229776 _R. H. Hardin_, Sep 29 2013