[seqfan] 2n-1 = a(n) - next digit

[Eric Angelini]

Hello SeqFans,
2n-1 = a(n) - [leftmost digit of a(n+1)]

C =  5,4,13,8,10,12,14,16,10,21,23,25,
28,30,32,34,36,39,41,43,45,48,50,
52,54,56,59,61,63,65,68,70,72,74,
76,79,81,83,...

The successive "gaps" are 1,3,5,7,9,11,13,15,...

A "gap" is the difference between
an integer and the first digit of the
next one:

5-4 gap 1
4-13 gap 3 = (4-1)
13-8 gap 5
8-10 gap 7 = (8-1)
10-12 gap 9 = (10-1)
etc.

I hope C is the lexico-first such 
sequence -- can't prove though C
won't stop somewhere...

Best,
É.

Catapulté de mon aPhone