A373462 Decimal expansion of the number whose base-3 expansion is A004601, the base-2 expansion of Pi.

4, 0, 3, 8, 4, 1, 7, 2, 3, 8, 6, 2, 7, 1, 2, 0, 1, 0, 3, 4, 2, 3, 6, 4, 9, 2, 2, 5, 9, 2, 9, 2, 1, 8, 6, 6, 7, 4, 5, 3, 1, 5, 7, 8, 4, 0, 1, 3, 9, 5, 3, 3, 5, 5, 3, 4, 2, 3, 3, 7, 0, 1, 9, 3, 5, 9, 4, 5, 0, 1, 6, 0, 8, 1, 0, 4, 7, 9, 0, 7, 6, 2, 8, 5, 4, 8, 8, 8, 0, 7, 5, 9, 9, 8, 8, 8

Offset

1,1

Comments

This number is likely to be normal in base 2 but certainly not normal in base 3, where it has only digits 0 and 1.

Links

Table of n, a(n) for n=1..96.

Wikipedia, Normal number, retrieved July 17, 2024

Formula

4.03841723862712010342364922592921866745315784013953355342337019359450160810479...

Example

Pi = 3.14159...[10] = 11.001001000011111101...[2] (i.e., in base 2, cf. A004601), which, considered as the base-3 expansion of a constant c = 3 + 1 + 1/3^3 + 1/3^6 + ... = 4.0384...[10]

Prog

(PARI) localprec(10+ N=99); d = concat(binary(Pi)); c = sum(k=1, #d, d[k]*3^(2-k), .); digits(c*10^N\1) /* if you use localprec() make sure all code is in the same scope */

Crossrefs

Cf. A000796 (decimal expansion of Pi), A004601 (binary expansion of Pi).

Sequence in context: A281531 A376643 A248914 * A246686 A048649 A200008

Adjacent sequences: A373459 A373460 A373461 * A373463 A373464 A373465

Keyword

nonn,base,cons

Author

M. F. Hasler, Jul 17 2024

Status

approved