A126312 - OEIS

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A126312

Fixed points of permutation A071661/A071662.

0, 1, 2, 3, 4, 8, 9, 22, 23, 30, 55, 64, 65, 98, 158, 196, 197, 318, 484, 625, 626, 687, 1042, 1549, 1973, 2055, 2056, 2376, 3471, 5113, 6558, 6917, 6918, 8191, 11763, 17268, 22277, 23713, 23714, 24331, 28360, 40491, 59362, 76942, 81754, 82499 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Those i for which A071661(i)=i, i.e. for which A057163(A057164(i)) = A057164(A057163(i)). These appear to consist of just those general plane trees which are symmetric and will stay symmetric also after the underlying plane binary tree has been reflected, i.e. for which A057164(i)=i and A057164(A057163(i)) = A057163(i). See comments at A123050 and A080070. The sequence seems to give also the fixed points of the permutation A125977/A125978.`
	LINKS	`D. Callan, A Bijection on Dyck Paths and Its Cycle Structure, 2006, 17pp.`
	CROSSREFS	`Sequence in context: A006899 A078830 A026489 * A126298 A175404 A082224` `Adjacent sequences: A126309 A126310 A126311 * A126313 A126314 A126315`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 16 2007`

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Last modified February 12 18:43 EST 2012. Contains 205432 sequences.