id:A051496 - OEIS Search Results

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Decimal expansion of probability that a point of an infinite (rooted) tree is fixed by every automorphism of the tree.

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6, 9, 9, 5, 3, 8, 8, 7, 0, 0, 6, 0, 9, 8, 9, 2, 3, 3, 2, 1, 6, 6, 3, 1, 2, 1, 8, 6, 2, 0, 1, 4, 2, 7, 6, 7, 1, 6, 3, 6, 8, 1, 4, 5, 5, 4, 6, 3, 5, 4, 2, 1, 6, 1, 9, 8, 9, 7, 5, 9, 2, 2, 0, 3, 2, 0, 0, 4, 6, 4, 1, 9, 2, 5, 6, 2, 9, 5, 6, 1, 2, 1, 4, 8, 7, 8, 4, 8, 0, 6, 0, 2, 8, 2, 6, 5, 4, 8 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`F. Harary and E. M. Palmer derive certain functional equations and, using the methods of G. Polya (Acta Math. 68 (1937), 145 254) and R. Otter (Ann. of Math. (2) 49 (1948), 583 - 599; Math. Rev. 10, 53), prove that the limiting probability of a fixed point in a large random tree, whether rooted or not, is 0.6995 ...`
	REFERENCES	`Harary, Frank; Palmer, Edgar M; The probability that a point of a tree is fixed; Math. Proc. Cambridge Philos. Soc. 85 (1979), no. 3, 407-415.`
	LINKS	`D. J. Broadhurst and D. Kreimer, Rooted-tree paper` `Index entries for sequences related to trees` `Index entries for sequences related to rooted trees`
	EXAMPLE	`0.6995388700609892332166312186...`
	CROSSREFS	`Equals \lim_{n\to\infty} A005200[n]/(nA000081[n]) = \lim_{n\to\infty} A005201[n]/(nA000055[n])` `Adjacent sequences: A051493 A051494 A051495 this_sequence A051497 A051498 A051499` `Sequence in context: A019753 A019902 A021147 this_sequence A100403 A087022 A066002`
	KEYWORD	`nonn,cons`
	AUTHOR	`David Broadhurst (D.Broadhurst(AT)open.ac.uk)`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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