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Search: id:A000149
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| A000149 |
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Floor(e^n).
(Formerly M1751 N0695)
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+0
24
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| 1, 2, 7, 20, 54, 148, 403, 1096, 2980, 8103, 22026, 59874, 162754, 442413, 1202604, 3269017, 8886110, 24154952, 65659969, 178482300, 485165195, 1318815734, 3584912846, 9744803446, 26489122129, 72004899337, 195729609428
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Federal Works Agency, Work Projects Administration for the City of NY, Tables of the Exponential Function. National Bureau of Standards, Washington, DC, 1939.
A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 230.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..300
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FORMULA
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a(n)^(1/n) converges to e because |1-a(n)/e^n|=|e^n-a(n)|/e^n < e^(-n) and so a(n)^(1/n)=(e^n*(1+o(1))^(1/n)=e*(1+o(1). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 22 2006
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MATHEMATICA
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a[n_]:=Floor[E^n]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 12 2008]
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CROSSREFS
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Bisection: A116472.
Sequence in context: A027418 A035508 A018033 this_sequence A080041 A049681 A027120
Adjacent sequences: A000146 A000147 A000148 this_sequence A000150 A000151 A000152
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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