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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
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Theorem: 2*(2*n+1)^n*sinh(1/2) > (2*n+2)^n - (2*n)^n for n >= 1.
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REFERENCES
| D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.13.
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MATHEMATICA
| Join[{1}, Table[Floor[2(2n+1)^n Sinh[1/2]]-(2n+2)^n+(2n)^n, {n, 20}]] (* From Harvey P. Dale, June 20 2011 *)
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CROSSREFS
| Sequence in context: A086403 A049120 A056546 * A144343 A022517 A022502
Adjacent sequences: A127692 A127693 A127694 * A127696 A127697 A127698
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2007
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