

A080120


Dyck path encodings of Legendre's candelabras formed for primes in A080114. (I.e., symmetric rooted plane trees constructed from their quadratic residue sets.)


3



10, 1010, 110100, 1011100010, 101100110010, 1111010110011001010000, 110110111100010101110000100100, 101100101111000100110111000010110010, 1111011110010101110010011011000101011000010000
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OFFSET

1,1


COMMENTS

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).


LINKS

Table of n, a(n) for n=1..9.
A. Karttunen, Illustration of initial terms


FORMULA

a(n) = A063171(A080119(n)).


MAPLE

A080120 := n > convert(A080118(n), binary);


CROSSREFS

Same sequence in decimal: A080118. Cf. A080114.
Sequence in context: A176067 A080070 A303610 * A300571 A274069 A325493
Adjacent sequences: A080117 A080118 A080119 * A080121 A080122 A080123


KEYWORD

nonn


AUTHOR

Antti Karttunen Feb 11 2003


STATUS

approved



