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Search: id:A092754
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| A092754 |
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a(1)=1, a(2n)=2a(n)+1, a(2n+1)=2a(n)+2. |
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+0
1
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| 1, 3, 4, 7, 8, 9, 10, 15, 16, 17, 18, 19, 20, 21, 22, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 127, 128, 129, 130, 131, 132
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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More generally the sequence b(1)=1, b(2n)=2b(n)+x, b(2n+1)=2b(n)+y is given by the formula b(n)=A053644(n)+x*(n-A053644(n))+y*(A053644(n)-1).
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FORMULA
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a(n)=2^floor(log(n)/log(2))+n-1
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PROGRAM
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(PARI) a(n)=if(n<2, 1, if(n%2, a(n-1)+1, a(n/2)*2+1))
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CROSSREFS
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Cf. A053644 (x=y=0), A054429(x=-1, y=+1), A062050(x=+1, y=-1).
Sequence in context: A057811 A026343 A080722 this_sequence A061094 A100991 A075821
Adjacent sequences: A092751 A092752 A092753 this_sequence A092755 A092756 A092757
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 13 2004
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