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A247784 a(n) = floor(1/(e - (1 + 1/n)^n)). 6
1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 47, 47, 48, 49, 49, 50 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
a(n+1) - a(n) is in {0,1} for n >= 0.
LINKS
FORMULA
a(n) ~ 2*exp(-1) * n. - Vaclav Kotesovec, Oct 09 2014
MATHEMATICA
z = 200; t = Table[Floor[1/(E - (1 + 1/k)^k)], {k, 1, z}] (*A247784*)
d = Differences[t]
Flatten[Position[d, 0]] (*A247785*)
Flatten[Position[d, 1]] (*A247786*)
PROG
(PARI) a(n) = floor(1/(exp(1) - (1 + 1/n)^n)); \\ Michel Marcus, Sep 26 2014
(Magma) [Floor(1/(Exp(1) - (1 + 1/n)^n)): n in [1..100]]; // G. C. Greubel, Sep 14 2018
CROSSREFS
Sequence in context: A057359 A076538 A138466 * A249243 A066530 A074183
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Sep 24 2014
STATUS
approved

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Last modified February 22 10:17 EST 2024. Contains 370250 sequences. (Running on oeis4.)