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Search: id:A132601
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| A132601 |
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Let S be the concatenation of natural numbers in binary representation: a(n) = position of first occurrence of n in S, then this occurrence in S is replaced by a(n) in binary. |
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8
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| 1, 2, 1, 5, 1, 2, 7, 14, 18, 16, 2, 1, 3, 7, 1, 6, 40, 46, 20, 20, 7, 62, 13, 31, 80, 8, 12, 6, 20, 4, 23, 111, 76, 9, 4, 132, 15, 9, 9, 20, 20, 18, 48, 134, 71, 45, 39, 3, 51, 13, 4, 10, 9, 31, 71, 34, 2, 8, 71, 25, 78, 56, 178, 280, 184, 106, 8, 185, 8, 276, 44, 5, 7, 12, 143, 24, 18
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A132602(n) = smallest m such that a(m) = n;
A132603 and A132604 give record values and where they occur;
A132605 gives numbers m such that a(m) = m;
A132606 gives positions m such that a(m)=a(m-1).
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..10000
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EXAMPLE
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S(0) = 110111001011101111000100110101011 ..;
for n<=2: a(n)=n, S(n) = S(n-1);
n=3->'11', a(3)=1->'1', S(3)=10111001011101111000100110101011..;
n=4->'100', a(4)=5->'101', S(4)=10111011011101111000100110101011..;
n=5->'101', a(5)=1->'1', S(5)=111011011101111000100110101011..;
n=6->'110', a(6)=2->'10', S(6)=11011011101111000100110101011..;
n=7->'111', a(7)=7->'111', S(7)=S(6);
n=8->'1000', a(8)=14->'1110', S(8)=11011011101111110100110101011..;
n=9->'1001', a(9)=18->'10010', S(9)=110110111011111101001010101011..;
n=10->'1010', a(10)=16->'10000',
S(10)=1101101110111111000001010101011..;
n=11->'1011', a(11)=2->'10', S(11)=11001110111111000001010101011..;
n=12->'1100', a(12)=1->'1', S(12)=11110111111000001010101011..;
n=13->'1101', a(13)=3->'11', S(13)=111111111000001010101011..;
n=14->'1110', a(14)=7->'111', S(14)=11111111000001010101011..;
n=15->'1111', a(15)=1->'1', S(15)=111111000001010101011..;
n=16->'10000', a(16)=6->'110', S(16)=1111111001010101011.. .
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CROSSREFS
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Cf. A007088, A030302, A132597, A132575.
Sequence in context: A066421 A143983 A113767 this_sequence A047818 A055972 A079168
Adjacent sequences: A132598 A132599 A132600 this_sequence A132602 A132603 A132604
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 24 2007
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