A080120 - OEIS

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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).

10, 1010, 110100, 1011100010, 101100110010, 1111010110011001010000, 110110111100010101110000100100, 101100101111000100110111000010110010, 1111011110010101110010011011000101011000010000 (list; graph; refs; listen; history; 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	`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 A163662 A080070 * A006937 A037220 A179284` `Adjacent sequences: A080117 A080118 A080119 * A080121 A080122 A080123`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Feb 11 2003`

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Last modified February 15 13:31 EST 2012. Contains 205802 sequences.