A181052 The sequence of numbers where the n-th term is (Pi^n - e^n) rounded down to the nearest integer, where Pi is the ratio of a circle's circumference to its diameter (A000796) and e is Euler's constant (A001113).

0, 0, 2, 10, 42, 157, 557, 1923, 6507, 21706, 71621, 234329, 761514, 2461263, 7919566, 25389128, 81146110, 258689610, 822922433, 2613081648, 8284791600, 26232816108, 82971091345, 262178903447, 827784397784, 2611774514980, 8235612082447, 25955792878501

Offset

0,3

Links

Table of n, a(n) for n=0..27.

Formula

A(n) = floor(Pi^n - e^n)

Example

A(0)=0, A(1)=0, A(2)=2 etc...

Mathematica

Table[Floor[Pi^n-E^n], {n, 0, 40}] (* Harvey P. Dale, Jun 02 2015 *)

Crossrefs

Sequence in context: A083937 A085224 A192695 * A024483 A276666 A302524

Adjacent sequences: A181049 A181050 A181051 * A181053 A181054 A181055

Keyword

nonn

Author

Jonathan D. B. Hodgson, Oct 01 2010

Extensions

More terms from Harvey P. Dale, Jun 02 2015

Status

approved