A141826 Bisect sequence A057113.

0, 4, 3, 12, 16, 19, 20, 7, 8, 15, 11, 23, 77, 73, 74, 85, 86, 78, 82, 90, 94, 89, 93, 81, 63, 60, 64, 71, 67, 51, 48, 56, 59, 68, 55, 52, 108, 112, 111, 104, 107, 119, 115, 99, 96, 103, 100, 116, 46, 45, 42, 29, 25, 34, 33, 41, 37, 26, 38, 30

Offset: 0

Author

Alford Arnold, Aug 07 2008

Keywords

• easy
• nonn

Comments

Since A057113 is generated based on A057112(n) and successive transpositions, we can be assured that A141826(n) will always map (using A055089)to permutation with an even number of transpositions (applicable, e.g. to the Icosahedron and truncated icosahedron studied in the Geometry Center at http://www.scienceu.com/geometry/facts/solids/handson.html ).

Examples

			A057113(n)is 0 1 4 5 3 2 12 13 16 22 19 18 20 10 7 6 8 14 15 9 11 21 23 17 77... so the sequence begins 0 4 3 12 16 19 20 7 8 15 11 23 77 ...
		

Crossrefs

Cf. A055089, A057112, A057113.

Extensions

More terms from Alford Arnold, Aug 18 2008