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.

A221067 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their king-move neighbors in a random 0..3 nX3 array.

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%I A221067 #6 Jul 23 2025 01:40:21
%S A221067 8,20,512,4096,26976,262144,2097152,16401664,134217728,1073741824,
%T A221067 8572235776,68719476736,549755813888,4397319143424,35184372088832,
%U A221067 281474976710656,2251771635433472,18014398509481984,144115188075855872
%N A221067 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their king-move neighbors in a random 0..3 nX3 array.
%C A221067 Column 3 of A221072
%H A221067 R. H. Hardin, <a href="/A221067/b221067.txt">Table of n, a(n) for n = 1..210</a>
%F A221067 Empirical: a(n) = 8*a(n-1) +160*a(n-3) -1280*a(n-4) -11200*a(n-6) +89600*a(n-7) +453632*a(n-9) -3629056*a(n-10) -11841536*a(n-12) +94732288*a(n-13) +209715200*a(n-15) -1677721600*a(n-16) -2577661952*a(n-18) +20621295616*a(n-19) +22041067520*a(n-21) -176328540160*a(n-22) -128781910016*a(n-24) +1030255280128*a(n-25) +490700013568*a(n-27) -3925600108544*a(n-28) -1099511627776*a(n-30) +8796093022208*a(n-31) +1099511627776*a(n-33) -8796093022208*a(n-34)
%e A221067 Some solutions for n=3
%e A221067 ..0..0..0....0..0..1....1..1..0....1..1..0....1..0..1....1..0..0....0..1..0
%e A221067 ..1..0..0....0..1..1....0..1..0....1..1..1....0..1..0....0..1..1....1..0..0
%e A221067 ..1..1..1....1..1..1....0..1..0....1..1..1....1..0..0....0..1..0....1..0..1
%K A221067 nonn
%O A221067 1,1
%A A221067 _R. H. Hardin_ Dec 31 2012