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.

A225978 Number of nX4 binary arrays whose sum with another nX4 binary array containing no more than two 1s has rows and columns in lexicographically nondecreasing order.

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%I A225978 #6 Jul 23 2025 05:25:49
%S A225978 15,138,1178,9113,61808,361361,1825607,8065278,31631401,111785599,
%T A225978 360788468,1075829429,2993017696,7832960008,19417916324,45865067963,
%U A225978 103734768130,225619306783,473616394498,962612525277,1899542726132
%N A225978 Number of nX4 binary arrays whose sum with another nX4 binary array containing no more than two 1s has rows and columns in lexicographically nondecreasing order.
%C A225978 Column 4 of A225982
%H A225978 R. H. Hardin, <a href="/A225978/b225978.txt">Table of n, a(n) for n = 1..76</a>
%F A225978 Empirical: a(n) = (23/14820309504000)*n^17 + (397/2615348736000)*n^16 + (1429/217945728000)*n^15 + (21083/130767436800)*n^14 + (156407/62270208000)*n^13 + (375707/14370048000)*n^12 + (3136061/16765056000)*n^11 + (21563/22861440)*n^10 + (26402329/6096384000)*n^9 + (423919927/18289152000)*n^8 + (68634593/598752000)*n^7 + (144700261/1437004800)*n^6 + (19312991563/12108096000)*n^5 - (22496273857/4540536000)*n^4 + (97668459683/3027024000)*n^3 - (41460631/700700)*n^2 + (20134601/291720)*n - 23 for n>2
%e A225978 Some solutions for n=3
%e A225978 ..0..0..0..1....0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..1
%e A225978 ..0..1..0..1....0..0..0..0....1..0..0..0....1..1..1..0....0..0..0..1
%e A225978 ..1..0..1..1....1..0..0..1....0..0..0..1....0..1..0..0....1..1..0..1
%K A225978 nonn
%O A225978 1,1
%A A225978 _R. H. Hardin_ May 22 2013