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A116487
First digit after decimal point in decimal representation of (1+1/n)^n.
0
0, 2, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
OFFSET
1,2
COMMENTS
a(n) = 7 for n > 73.
LINKS
Eric Weisstein's World of Mathematics, e
FORMULA
a(n) = floor(10*(1+1/n)^n) mod 10.
EXAMPLE
(1 + 1/10)^10 = 2.593742..., therefore a(10) = 5.
MATHEMATICA
Table[First[RealDigits[(1+1/n)^n, 10, 2]][[2]], {n, 103}] (* James C. McMahon, Aug 20 2024 *)
CROSSREFS
Cf. A001113.
Sequence in context: A133947 A082090 A060197 * A249041 A070546 A034586
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Mar 20 2006
STATUS
approved