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

Author

Reinhard Zumkeller, Oct 18 2005

Keywords

• nonn
• easy
• base

Comments

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

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

Links

• Index entries for sequences that are permutations of the natural numbers
• Eric Weisstein's World of Mathematics, Digital Root

Crossrefs

Cf. A010888.