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A332804
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Lexicographically earliest sequence such that the terms' cumulative sum and the sequence itself have the same digit succession (duplicated terms and zeros allowed).
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2
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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
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OFFSET
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1,1
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COMMENTS
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The variant where duplicated terms and zero are forbidden is A332803.
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LINKS
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EXAMPLE
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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.
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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