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Search: id:A080120
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| A080120 |
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Dyck path encodings of Legendre's candelabras formed for primes in A080114. (I.e. symmetric rooted plane trees constructed from their quadratic residue sets). |
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+0
3
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| 10, 1010, 110100, 1011100010, 101100110010, 1111010110011001010000, 110110111100010101110000100100, 101100101111000100110111000010110010, 1111011110010101110010011011000101011000010000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For the 2nd, 5th and 8th term of the sequence, the quadratic residue set of the corresponding prime (5,13,37, of the form 4k+1) has been converted from symmetric to complementarily symmetric as 1001->1010, 101100001101->101100110010, 101100101111000100001000111101001101->101100101111000100110111000010110010, for the others (of the form 4k+3), it is the quadratic residue set encoded as in A055094 (with +1 mapped to 1 and -1 to 0).
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LINKS
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A. Karttunen, Illustration of initial terms
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FORMULA
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a(n) = A063171(A080119(n))
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MAPLE
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A080120 := n -> convert(A080118(n), binary);
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CROSSREFS
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Same sequence in decimal: A080118. Cf. A080114.
Sequence in context: A079214 A163662 A080070 this_sequence A006937 A037220 A138484
Adjacent sequences: A080117 A080118 A080119 this_sequence A080121 A080122 A080123
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Feb 11 2003
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