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A055395 Number of bracketings of 0#0#0#...#0 giving result 0, where 0#0 = 0#1 = 1#0 = 1, 1#1 = 0. 4
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; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

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

LINKS

Table of n, a(n) for n=1..27.

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: A177881 A000781 A192205 * A113990 A192010 A056383

Adjacent sequences:  A055392 A055393 A055394 * A055396 A055397 A055398

KEYWORD

nonn

AUTHOR

Jeppe Stig Nielsen (sequence(AT)jeppesn.dk), Jun 24 2000

STATUS

approved

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Last modified May 26 04:23 EDT 2013. Contains 225653 sequences.