A108971 Lexicographically earliest sequence such that in decimal representation sums of digits of consecutive terms differ exactly by 1 or -1.

1, 2, 3, 4, 5, 6, 7, 8, 9, 17, 16, 15, 14, 13, 12, 11, 10, 20, 21, 22, 23, 24, 25, 26, 18, 19, 27, 28, 29, 37, 36, 35, 34, 33, 32, 31, 30, 40, 41, 42, 43, 44, 45, 46, 38, 39, 47, 48, 49, 57, 56, 55, 54, 53, 52, 51, 50, 60, 61, 62, 63, 64, 65, 66, 58, 59, 67, 68, 69, 77, 76, 75

Offset: 1

Author

Reinhard Zumkeller, Jul 27 2005

Keywords

• nonn
• base

Comments

Permutation of the natural numbers with inverse A179977; A179978(n)=a(a(n)); A179979 gives fixed points: a(A179979(n))=A179979(n).

abs(A007953(a(n+1)) - A007953(a(n))) = 1.

A179987(n)=A007953(a(n)); A007953(a(A179988(n)))=n; a(A179988(n))=A051885(n+1). - Reinhard Zumkeller, Aug 09 2010, Jul 10 2011

Links

• R. Zumkeller, Table of n, a(n) for n = 1..10000
• Index entries for sequences that are permutations of the natural numbers

Extensions

Comment corrected and extended by Reinhard Zumkeller, Aug 04 2010