

A100323


List of numbers n such that decimal expansion of Pi^n begins (after the decimal point) with n.


1




OFFSET

1,2


COMMENTS

The terms of this current sequence are related to those in A100322, but do not necessarily appear in that sequence since A100322 is defined as the smallest positive integer a(n) such that the decimal places of Pi^a(n) begin with n.


LINKS

Table of n, a(n) for n=1..6.


EXAMPLE

E.g., Pi^1=3.1...; Pi^4=97.4...; Pi^75=19330382693312372796273669213182810875.75...


MATHEMATICA

p = N[Pi, 10^4]; f[n_] := Block[{r = RealDigits[p^n, 10, Max[5, n]]}, e = r[[2]]; FromDigits[ Take[r[[1]], {e + 1, e + 1 + Floor[ Log[10, n]]} ]]]; Do[ If[ f[n] == n, Print[n]], {n, 10^4}] (* Robert G. Wilson v, Nov 16 2004 *)


CROSSREFS

Cf. A100322.
Sequence in context: A006236 A120248 A191505 * A262073 A067921 A317903
Adjacent sequences: A100320 A100321 A100322 * A100324 A100325 A100326


KEYWORD

base,nonn


AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 16 2004


EXTENSIONS

a(6) from Jon E. Schoenfield, Mar 28 2015


STATUS

approved



