The On-Line Encyclopedia of Integer Sequences (OEIS)

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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).
(history; published version)

#6 by Harvey P. Dale at Tue Jun 02 17:10:12 EDT 2015

STATUS

editing

approved

#5 by Harvey P. Dale at Tue Jun 02 17:10:05 EDT 2015

DATA

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

MATHEMATICA

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

EXTENSIONS

More terms from Harvey P. Dale, Jun 02 2015

STATUS

approved

editing

#4 by Charles R Greathouse IV at Sat Oct 12 15:27:02 EDT 2013

AUTHOR

_Jonathan D. B. Hodgson (hodgsonjdb(AT)btinternet.com), _, Oct 01 2010

Discussion

Sat Oct 12

15:27

OEIS Server: https://oeis.org/edit/global/2018

#3 by Charles R Greathouse IV at Thu Jul 12 00:39:52 EDT 2012

NAME

The sequence of numbers where the nth 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).

Discussion

Thu Jul 12

00:39

OEIS Server: https://oeis.org/edit/global/1814

#2 by N. J. A. Sloane at Wed Oct 20 03:00:00 EDT 2010

AUTHOR

Jonathan D . B . Hodgson (hodgsonjdb(AT)btinternet.com), Oct 01 2010

#1 by N. J. A. Sloane at Sat Oct 02 03:00:00 EDT 2010

NAME

The sequence of numbers where the nth 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).

DATA

0, 0, 2, 10, 42, 157, 557, 1923, 6507, 21706, 71621, 234329, 761514, 2461263, 7919566, 25389128, 81146110

OFFSET

0,3

FORMULA

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

EXAMPLE

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

KEYWORD

nonn,new

AUTHOR

Jonathan D B Hodgson (hodgsonjdb(AT)btinternet.com), Oct 01 2010

STATUS

approved