A116487 First digit after decimal point in decimal representation of (1+1/n)^n.

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

Table of n, a(n) for n=1..103.

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.

Crossrefs

Cf. A001113.

Sequence in context: A133947 A082090 A060197 * A249041 A070546 A034586

Adjacent sequences: A116484 A116485 A116486 * A116488 A116489 A116490

Keyword

nonn,base

Author

Reinhard Zumkeller, Mar 20 2006

Status

approved