A096935 Smallest number k such that in its decimal representation the first n digits of Pi=3.14... are contained in 11^k.

3, 3, 18, 189, 247, 993, 993, 3164, 22045, 23345

Offset

1,1

Comments

a(11) > 40000. - Robert G. Wilson v, Aug 19 2004

Links

Table of n, a(n) for n=1..10.

Example

n=3, '314': 11^18 = 5559917313492231481, therefore a(3)=18: floor(11^a(3) / 100) mod 1000 = 314.

Mathematica

f[0] = 1; f[n_] := f[n] = Block[{pi = StringTake[ ToString[ RealDigits[Pi, 10, n][[1]]], {2, -2}], k = f[n - 1]}, While[ StringPosition[ ToString[ IntegerDigits[11^k]], pi] == {}, k++ ]; k]; (* Robert G. Wilson v, Aug 19 2004 *)

Crossrefs

Cf. A001020, A000796.

Sequence in context: A371552 A189737 A261567 * A136475 A143180 A074249

Adjacent sequences: A096932 A096933 A096934 * A096936 A096937 A096938

Keyword

nonn,base

Author

Reinhard Zumkeller, Aug 18 2004

Extensions

a(9)-a(10) from Robert G. Wilson v, Aug 19 2004

Status

approved