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A173523
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1+A053735(n-1), where A053735 is the sum-of-digits function in base 3.
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7
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1, 2, 3, 2, 3, 4, 3, 4, 5, 2, 3, 4, 3, 4, 5, 4, 5, 6, 3, 4, 5, 4, 5, 6, 5, 6, 7, 2, 3, 4, 3, 4, 5, 4, 5, 6, 3, 4, 5, 4, 5, 6, 5, 6, 7, 4, 5, 6, 5, 6, 7, 6, 7, 8, 3, 4, 5, 4, 5, 6, 5, 6, 7, 4, 5, 6, 5, 6, 7, 6, 7, 8, 5, 6, 7, 6, 7, 8, 7, 8, 9, 2, 3, 4, 3, 4, 5, 4, 5, 6, 3, 4, 5, 4, 5, 6, 5, 6, 7, 4, 5, 6, 5, 6, 7, 6, 7, 8, 3, 4, 5, 4, 5, 6, 5, 6, 7, 4, 5, 6
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OFFSET
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1,2
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COMMENTS
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A053735 can be obtained as 0 followed by the first 2 terms of this sequence, followed by the first 6 terms, followed by the first 18 terms, ..., followed by the first 2*3^n terms, etc.
Similar observations are possible for: A063787 (base-2 case), and generic comments have been gathered in A173525 (base-5 case).
Fixed point of morphism 1->123, 2->234, 3->345 etc. (start with 1).
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LINKS
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Table of n, a(n) for n=1..120.
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EXAMPLE
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If written as a triangle, begins:
1,
2,3,
2,3,4,3,4,5,
2,3,4,3,4,5,4,5,6,3,4,5,4,5,6,5,6,7,
2,3,4,3,4,5,4,5,6,3,4,5,4,5,6,5,6,7,4,5,6,5,6,7,6,7,8,...
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CROSSREFS
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Cf. A000120, A053735, A063787, A173524 - A173529.
Sequence in context: A240834 A256993 A348192 * A199323 A156549 A275868
Adjacent sequences: A173520 A173521 A173522 * A173524 A173525 A173526
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KEYWORD
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base,nonn
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AUTHOR
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Omar E. Pol, Feb 20 2010
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STATUS
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approved
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