id:A056493 - OEIS Search Results

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Number of primitive (period n) periodic palindromes using a maximum of two different symbols.

+0
2

2, 1, 2, 3, 6, 7, 14, 18, 28, 39, 62, 81, 126, 175, 246, 360, 510, 728, 1022, 1485, 2030, 3007, 4094, 6030, 8184, 12159, 16352, 24381, 32766, 48849, 65534, 97920, 131006, 196095, 262122, 392364, 524286, 785407, 1048446, 1571310, 2097150, 3143497 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`For example, aaabbb is not a (finite) palindrome but it is a periodic palindrome.` `Also aperiodic necklaces (Lyndon words) that are the same when turned over.`
	REFERENCES	`M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.`
	LINKS	`Index entries for sequences related to Lyndon words`
	FORMULA	`Sum mu(d)*A029744(n/d) where d divides n.`
	CROSSREFS	`Cf. A056458.` `Sequence in context: A128474 A108618 A097719 this_sequence A001371 A001037 A122086` `Adjacent sequences: A056490 A056491 A056492 this_sequence A056494 A056495 A056496`
	KEYWORD	`nonn`
	AUTHOR	`Marks R. Nester (nesterm(AT)dpi.qld.gov.au)`
	EXTENSIONS	`More terms and additional comments from Christian G. Bower (bowerc(AT)usa.net), Jun 22 2000`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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