cp's OEIS Frontend

A341013 The cumulative sum of the prime digits so far in the sequence and the cumulative sum of the nonprime digits so far differ by n for all a(n) values.

%I A341013 #15 Feb 10 2021 08:15:07
%S A341013 1,3,12,16,10,34,43,56,65,78,87,100,236,258,263,285,304,326,340,359,
%T A341013 362,395,403,430,447,474,506,528,539,560,582,593,605,623,632,650,708,
%U A341013 744,780,807,825,852,870,935,953,1000,1112,1121,1145,1154,1167,1176
%N A341013 The cumulative sum of the prime digits so far in the sequence and the cumulative sum of the nonprime digits so far differ by n for all a(n) values.
%C A341013 The prime digits are 2, 3, 5 and 7; the nonprime digits are 0, 1, 4, 6, 8 and 9.
%C A341013 This is the lexicographically earliest sequence of distinct integers > 0 having this property.
%H A341013 Carole Dubois, <a href="/A341013/b341013.txt">Table of n, a(n) for n = 1..5000</a>
%e A341013 Say that the current sequence is S, the cumulative sum at any moment of the prime digits of S is P, the cumulative sum at any moment of the nonprime digits of S is N and the absolute difference |P-N| is D. We would then have:
%e A341013 S =  1, 3, 12, 16, 10, 34, 43, 56, 65, 78, 87, 100,...
%e A341013 P =  0  3   5   5   5   8  11  16  21  28  35   35
%e A341013 N =  1  1   2   9  10  14  18  24  30  38  46   47
%e A341013 D =  1  2   3   4   5   6   7   8   9  10  11   12 <-- this is = n
%Y A341013 Cf. A085562, A085563.
%Y A341013 Cf. A341012 (the cumulative sums of even vs odd digits differ by n).
%K A341013 base,nonn
%O A341013 1,2
%A A341013 _Carole Dubois_ and _Eric Angelini_, Feb 02 2021