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 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. 2
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified December 2 04:17 EST 2023. Contains 367506 sequences. (Running on oeis4.)