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 A127642 Floor(n^n/n!) - ceiling(2^n/n). 1
 -1, 0, 1, 6, 19, 53, 144, 384, 1010, 2652, 6960, 18271, 48007, 126292, 332679, 877561, 2318039, 6131032, 16236271, 43047375, 114256746, 303570609, 807327311, 2148933010, 5724699937, 15262109996, 40717942427, 108704057535, 290385838171, 776171229484 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Theorem: n^n/n! > 2^n/n for n >= 3. REFERENCES D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.21. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 MATHEMATICA Table[Floor[n^n/n!]-Ceiling[2^n/n], {n, 40}] (* Harvey P. Dale, Jan 09 2016 *) CROSSREFS Sequence in context: A272541 A273142 A273173 * A272151 A272562 A176883 Adjacent sequences:  A127639 A127640 A127641 * A127643 A127644 A127645 KEYWORD sign AUTHOR N. J. A. Sloane, Apr 03 2007 EXTENSIONS Corrected by N. J. A. Sloane, Jan 09 2016, after Harvey P. Dale noticed that something was wrong. More terms from Harvey P. Dale, Jan 09 2016 STATUS approved

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Last modified October 14 07:19 EDT 2019. Contains 327995 sequences. (Running on oeis4.)