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Search: id:A127695
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| A127695 |
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Floor( 2*(2*n+1)^n*sinh(1/2) ) - (2*n+2)^n + (2*n)^n. |
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+0
1
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| 1, 1, 6, 61, 933, 19013, 486903, 15046084, 545075629, 22661379274, 1063692556445, 55646541997466, 3210791930531340, 202576381691155974, 13874616146693093852, 1025250869305088941530, 81303554487412360191076, 6887348857934410851161581, 620720182437520911247158798
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OFFSET
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0,3
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COMMENT
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Theorem: 2*(2*n+1)^n*sinh(1/2) > (2*n+2)^n - (2*n)^n for n >= 1.
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REFERENCES
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D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.13.
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CROSSREFS
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Sequence in context: A086403 A049120 A056546 this_sequence A144343 A022517 A022502
Adjacent sequences: A127692 A127693 A127694 this_sequence A127696 A127697 A127698
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2007
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