A181052 - OEIS

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

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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