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

1,2

Comments

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

Links

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

Example

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.

Crossrefs

Cf. A071648, A071649.

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

Sequence in context: A232608 A175335 A167788 * A072968 A072138 A109891

Adjacent sequences: A341009 A341010 A341011 * A341013 A341014 A341015

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 02 2021

Status

approved