

A373462


Decimal expansion of the number whose base3 expansion is A004601, the base2 expansion of Pi.


0



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
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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



FORMULA

4.03841723862712010342364922592921866745315784013953355342337019359450160810479...


EXAMPLE

Pi = 3.14159...[10] = 11.001001000011111101...[2] (i.e., in base 2, cf. A004601), which, considered as the base3 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^(2k), .); 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).


KEYWORD



AUTHOR



STATUS

approved



