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A100323 Numbers k such that the decimal expansion of Pi^k begins (after the decimal point) with k. 1
1, 4, 75, 9424, 12669, 331783 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The terms of this sequence are related to those in A100322, but do not necessarily appear in that sequence since A100322(n) is defined as the smallest positive integer k such that the digits of the fractional part of Pi^k begin with n.
LINKS
EXAMPLE
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
KEYWORD
base,nonn,more
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 16 2004
EXTENSIONS
a(6) from Jon E. Schoenfield, Mar 28 2015
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)