A113218 Lexicographically earliest permutation of the natural numbers with alternating parities of digital roots in decimal representation.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 13, 12, 15, 14, 17, 16, 20, 18, 22, 19, 24, 21, 26, 23, 29, 25, 31, 27, 33, 28, 35, 30, 38, 32, 40, 34, 42, 36, 44, 37, 47, 39, 49, 41, 51, 43, 53, 45, 56, 46, 58, 48, 60, 50, 62, 52, 65, 54, 67, 55, 69, 57, 71, 59, 74, 61, 76, 63, 78, 64, 80

Offset

0,3

Comments

inverse: A113220; A113219 = a(a(n));

A113217(a(n)) = A000035(n).

Links

Table of n, a(n) for n=0..72.

Index entries for sequences that are permutations of the natural numbers

Eric Weisstein's World of Mathematics, Digital Root

Crossrefs

Cf. A010888.

Sequence in context: A335133 A183083 A113220 * A296424 A065708 A296423

Adjacent sequences: A113215 A113216 A113217 * A113219 A113220 A113221

Keyword

nonn,easy,base

Author

Reinhard Zumkeller, Oct 18 2005

Status

approved