id:A055395 - OEIS Search Results

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Number of bracketings of 0#0#0#...#0 giving result 0, where 0#0 = 0#1 = 1#0 = 1, 1#1 = 0.

+0
5

1, 0, 0, 1, 4, 12, 36, 116, 392, 1350, 4696, 16500, 58572, 209824, 757440, 2752185, 10057636, 36943044, 136319052, 505086728, 1878395920, 7009239644, 26235435248, 98475145476, 370584275964, 1397918543552, 5284861554816 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`Operation # can be interpreted as NOT AND. The ratio a(n)/A000108(n-1) converges to (2-sqrt(2))/2. Thanks to Soren Galatius Smith`
	FORMULA	`G.f.: 1 - 1/2 (1 - 4 x)^{1/2} - 1/2 (3 - 2 (1 - 4 x)^{1/2} - 4 x)^{1/2}`
	CROSSREFS	`Cf. A055113, A055392.` `Sequence in context: A003946 A052156 A000781 this_sequence A113990 A056383 A052643` `Adjacent sequences: A055392 A055393 A055394 this_sequence A055396 A055397 A055398`
	KEYWORD	`nonn`
	AUTHOR	`Jeppe Stig Nielsen (sequence(AT)jeppesn.dk), Jun 24 2000`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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