A331411 Position of the start of a 5-digit sequence in the decimal digits of Pi such that the first, third, and fifth terms of that 5-digit sequence are the same.

334, 412, 415, 646, 763, 764, 851, 854, 987, 1097, 1110, 1172, 1224, 1591, 1756, 1782, 1915, 2025, 2144, 2156, 2203, 2205, 2279, 2381, 2907, 3273, 3362, 3813, 3865, 3973, 4140, 4174, 4256, 4289, 4307, 4507, 4672, 4986, 5224, 5230, 5265, 5311, 5313, 5345

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Example

The five decimal digits of Pi starting at the 412th digit are {5,7,5,9,5}. Because the first, third, and fifth of those five digits are the same, 412 is a term of the sequence.

Mathematica

With[{pid=RealDigits[Pi, 10, 10000][[1]]}, SequencePosition[pid, {x_, _, x_, _, x_}]][[All, 1]] (* Requires Mathematica version 10 or later *)

Crossrefs

Cf. A000796.

Sequence in context: A158859 A367978 A182098 * A020367 A254705 A184463

Adjacent sequences: A331408 A331409 A331410 * A331412 A331413 A331414

Keyword

nonn,base

Author

Harvey P. Dale, Jan 16 2020

Status

approved