login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 27 15:49 EDT 2021. Contains 346308 sequences. (Running on oeis4.)