id:A127695 - OEIS Search Results

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Floor( 2*(2*n+1)^n*sinh(1/2) ) - (2*n+2)^n + (2*n)^n.

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1, 1, 6, 61, 933, 19013, 486903, 15046084, 545075629, 22661379274, 1063692556445, 55646541997466, 3210791930531340, 202576381691155974, 13874616146693093852, 1025250869305088941530, 81303554487412360191076, 6887348857934410851161581, 620720182437520911247158798 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Theorem: 2(2n+1)^nsinh(1/2) > (2n+2)^n - (2*n)^n for n >= 1.`
	REFERENCES	`D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.13.`
	CROSSREFS	`Adjacent sequences: A127692 A127693 A127694 this_sequence A127696 A127697 A127698` `Sequence in context: A086403 A049120 A056546 this_sequence A022517 A022502 A144063`
	KEYWORD	`nonn`
	AUTHOR	`njas, Apr 03 2007`

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.

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