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A332804
Lexicographically earliest sequence such that the terms' cumulative sum and the sequence itself have the same digit succession (duplicated terms and zeros allowed).
2
10, 1, 1, 1, 2, 1, 3, 1, 5, 1, 6, 1, 9, 2, 0, 2, 5, 2, 6, 3, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 6, 5, 1, 5, 3, 5, 9, 6, 2, 6, 4, 6, 7, 7, 0, 7, 4, 7, 6, 8, 0, 8, 4, 8, 8, 9, 2, 9, 6, 1, 0, 2, 1, 0, 7, 1, 0, 8, 1, 1, 3, 1, 1, 6, 1, 2, 1, 1, 3, 0, 1, 3, 6, 1, 3, 8, 1, 4, 4, 1, 4, 8, 1, 5, 4, 1, 6, 1, 1, 6, 8, 1, 6, 8
OFFSET
1,1
COMMENTS
The variant where duplicated terms and zero are forbidden is A332803.
LINKS
EXAMPLE
Below are S, the sequence, and Q, the cumulative sum:
S = 10, 1, 1, 1, 2, 1, 3, 1, 5, 1, 6, 1, 9, 2, 0, 2,...
Q = 10,11,12,13,15,16,19,20,25,26,32,33,42,44,44,46,...
We see that S and Q have the same succession of digits.
MATHEMATICA
s={10, 1}; q={1, 0, 1, 1}; t=11; p=4; While[ Length[s] < 105, v = q[[p++]]; AppendTo[s, v]; t += v; q = Join[q, IntegerDigits@ t]]; s (* Giovanni Resta, Feb 25 2020 *)
CROSSREFS
Cf. A332803.
Sequence in context: A360159 A284100 A279051 * A010178 A070596 A306363
KEYWORD
base,nonn
AUTHOR
STATUS
approved