A341012 The cumulative sum of the even digits so far in the sequence and the cumulative sum of the odd digits so far differ by n for all a(n)s.

1, 10, 16, 7, 23, 32, 45, 54, 67, 76, 89, 98, 100, 203, 225, 230, 247, 252, 269, 274, 296, 302, 320, 405, 427, 449, 450, 472, 494, 504, 522, 540, 607, 629, 670, 692, 706, 724, 742, 760, 809, 890, 908, 926, 944, 962, 980, 1000, 1112, 1121, 1134, 1143, 1156, 1165, 1178

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 02 2021

Keywords

• base
• nonn

Comments

This is the lexicographically earliest sequence of distinct integers > 0 having this property.

Examples

			Say that the current sequence is S, the cumulative sum at any moment of the even digits of S is E, the cumulative sum at any moment of the odd digits of S is O and the absolute difference |E-O| is D. We would then have:
S = 1, 10, 16, 7, 23, 32, 45, 54, 67, 76, 89, 98,...
E = 0   0   6  6   8  10  14  18  24  30  38  46
O = 1   2   3 10  13  16  21  26  33  40  49  58
D = 1   2   3  4   5   6   7   8   9  10  11  12 <-- this is = n.
		

Links

• Carole Dubois, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A071648, A071649.

Cf. A341002 (numbers whose sum of even digits and sum of odd digits differ by 1).