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A053642
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Rotate one binary digit to the left, calculate, then rotate one binary digit to the right.
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0
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1, 1, 3, 1, 3, 6, 7, 1, 3, 6, 7, 12, 13, 14, 15, 1, 3, 6, 7, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31, 1, 3, 6, 7, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Sequence contains ever longer copies of A004760. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 16 2003
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FORMULA
| a(n) = A038572(A006257(n)), =n if 3*2^(k-1)<=n<2^(k+1), =a(n-2^(k-1)) if 2^k<=n<3*2^(k-1)
a(2n) = 2a(n) - [a(n)==1], a(2n+1) = 2a(n) + 1. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 16 2003
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EXAMPLE
| a(22)=14 because starting with 10110 the left rotation produces 01101 written as 1101 (i.e. 13) and the left rotation produces 1110 (i.e. 14)
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CROSSREFS
| Cf. A006257, A038572.
Sequence in context: A137338 A176106 A058659 * A171961 A205121 A152903
Adjacent sequences: A053639 A053640 A053641 * A053643 A053644 A053645
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 22 2000
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