26034

Appears in sequences

• Number of distinct solutions to reverse the 8 puzzle (3 X 3 analog of the 4 X 4 15 puzzle) in 28, 30, 32, ... moves.at n=6A046164
• Numbers n such that 2^n'-1 is prime, where n' is the arithmetic derivative of n.at n=21A189992
• 3-loop graph coloring a rectangular array: number of n X 2 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=4A223241
• 3-loop graph coloring a rectangular array: number of nX5 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=1A223244
• T(n,k)=3-loop graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=16A223247
• T(n,k)=3-loop graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=19A223247
• a(n) = 102*2^n - 78.at n=8A305159
• The binary expansion of a(n) is the second through n-th terms of A000002 - 1.at n=15A329355