cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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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.

Original entry on oeis.org

1, 3, 12, 16, 10, 34, 43, 56, 65, 78, 87, 100, 236, 258, 263, 285, 304, 326, 340, 359, 362, 395, 403, 430, 447, 474, 506, 528, 539, 560, 582, 593, 605, 623, 632, 650, 708, 744, 780, 807, 825, 852, 870, 935, 953, 1000, 1112, 1121, 1145, 1154, 1167, 1176
Offset: 1

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Author

Carole Dubois and Eric Angelini, Feb 02 2021

Keywords

Comments

The prime digits are 2, 3, 5 and 7; the nonprime digits are 0, 1, 4, 6, 8 and 9.
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 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:
S =  1, 3, 12, 16, 10, 34, 43, 56, 65, 78, 87, 100,...
P =  0  3   5   5   5   8  11  16  21  28  35   35
N =  1  1   2   9  10  14  18  24  30  38  46   47
D =  1  2   3   4   5   6   7   8   9  10  11   12 <-- this is = n
		

Crossrefs

Cf. A341012 (the cumulative sums of even vs odd digits differ by n).
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