id:A136130 - OEIS Search Results

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Decimal expansion of the expected value of the spectral radius of a 2 by 2 matrix, whose entries are independent random variables, uniformly distributed over [0,1].

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

	OFFSET	`0,1`
	LINKS	`Emeric Deutsch, The expected value of the spectral radius...`
	FORMULA	`1/2 + (1/2)Int[sqrt((x-u)^2 +4yz)] over the 4-dimensional cube 0<=x,y,u,v<=1 = (29/60)ln[(1+sqrt(5))/2] - 43*sqrt(5)/720 + 3229/3600 =~ 0.995987211233682003866`
	CROSSREFS	`Adjacent sequences: A136127 A136128 A136129 this_sequence A136131 A136132 A136133` `Sequence in context: A131744 A076416 A091133 this_sequence A021505 A019894 A085984`
	KEYWORD	`nonn,cons`
	AUTHOR	`Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 26 2008`

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.

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