A280183 Positions of pandigital 10-digit numbers after the decimal point in the decimal expansion of Pi.

60, 61, 5470, 5471, 7115, 8668, 12768, 16545, 18805, 18959, 22259, 23572, 26399, 29093, 29382, 30025, 31120, 36105, 36222, 46431, 53221, 53654, 54013, 56107, 56629, 56761, 59716, 66867, 69531, 70814, 71596, 73936, 74180, 88936, 91917, 106692, 107809, 109173

Offset

1,1

Comments

If the 3 before the decimal point is included as a digit, then the positions are in A258157.

From Eduard Roure Perdices, Jun 16 2021: (Start)

It is conjectured that Pi is a normal number in base 10, which would imply that this sequence is infinite.

In the first 10^9 decimal digits of Pi, there are 362577 permutations of {0,...,9}, and this value is close to 362880, the expected number of permutations of {0,...,9} in a list of 10^9 random integers from 0 to 9. (End)

Links

Eduard Roure Perdices, Table of n, a(n) for n = 1..10000

Formula

a(n) = A258157(n) - 1.

Mathematica

final = 10^5; digits = RealDigits[Pi, 10, final][[1]];
an = {}; init = 1; While[init + 9 <= final,
list = Union[Table[digits[[init + i]], {i, 0, 9}]];
If[Length[list] == 10, AppendTo[an, init - 1]];
init++;
]; an (* Eduard Roure Perdices, Jun 16 2021 *)

Crossrefs

Cf. A000796 (Pi), A258157, A280182.

Sequence in context: A247437 A266916 A256749 * A181463 A114559 A175102

Adjacent sequences: A280180 A280181 A280182 * A280184 A280185 A280186

Keyword

nonn,base

Author

Bobby Jacobs, Dec 28 2016

Status

approved