A100322 a(n) is the smallest positive integer k such that the digits of the fractional part of Pi^k begin with n.

1, 7, 6, 4, 8, 23, 25, 2, 15, 91, 51, 307, 49, 1, 102, 315, 112, 12, 76, 26, 115, 208, 77, 276, 161, 40, 13, 41, 7, 99, 174, 169, 86, 453, 110, 204, 53, 6, 67, 4, 228, 123, 37, 134, 158, 192, 33, 45, 61, 200, 31, 324, 8, 56, 34, 105, 148, 17, 19, 92, 23, 38, 27, 39, 32, 82

Offset

1,2

Links

Table of n, a(n) for n=1..66.

Example

Pi^1 = 3.14159..., whose digits after the decimal point begin with 1, so a(1)=1.
Pi^2 = 9.869..., whose digits after the decimal point begin with 8, so a(8)=2.
a(14)=1 because Pi^1 = 3.14....

Prog

(PARI) a(n) = my(k=1); while (floor(frac(Pi^k)*10^(1+logint(n, 10))) != n, k++); k; \\ Michel Marcus, Jun 18 2022

Crossrefs

Cf. A000796, A002388, A091925, A092425, A092731, A092732, A092735, A092736.

Sequence in context: A021089 A154194 A091589 * A341328 A094961 A069814

Adjacent sequences: A100319 A100320 A100321 * A100323 A100324 A100325

Keyword

base,nonn

Author

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

Status

approved