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A063787
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a(2^k) = k + 1 and a(2^k + i) = 1 + a(i) for k >= 0 and 0 < i < 2^k.
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13
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1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Equals log(A131136)/log(2) - Stephen Crowley (crow(AT)crowlogic.net), Aug 25 2008
a(n) = A007814(n) + A000120(n) [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 04 2009]
a(n) = A000120(A086799(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 31 2010]
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LINKS
| Michael Gilleland, Some Self-Similar Integer Sequences
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EXAMPLE
| k = 3: a(2^3) = a(8) = 4 = 3 + 1; k = 3, i = 5: a(2^3 + 5) = a(13) = 3 = 1 + 2 = 1 + a(5).
Contribution from Omar E. Pol (info(AT)polprimos.com), Jun 12 2009: (Start)
Triangle begins:
1;
2,2;
3,2,3,3;
4,2,3,3,4,3,4,4;
5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5;
6,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6;
7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,3,4,4,5,...
(End)
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CROSSREFS
| Equals A000120(n-1)+1.
Cf. A131136.
A007814 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 04 2009]
Cf. A000079. [From Omar E. Pol (info(AT)polprimos.com), Jun 12 2009]
Sequence in context: A126071 A185166 A105264 * A182745 A129843 A050430
Adjacent sequences: A063784 A063785 A063786 * A063788 A063789 A063790
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 16 2001
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