A011443 Decimal expansion of 24th root of 24.

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

Offset

1,3

Comments

Sanna shows that the number of inequivalent arithmetic expressions of n is this constant raised to the power of n + O(sqrt(n)). "Arithmetic expressions", in this context, are formulas with 1s, parentheses, addition, and multiplication, disallowing multiplication by 1. - Charles R Greathouse IV, Jan 27 2016

Links

Ivan Panchenko, Table of n, a(n) for n = 1..1000

Carlo Sanna, On the number of arithmetic formulas, Int. J. Number Theory 11 (2015), p. 1099.

Mathematica

RealDigits[24^(1/24), 10, 90][[1]] (* Bruno Berselli, Feb 03 2016 *)

Prog

(PARI) sqrtn(24, 24) \\ Charles R Greathouse IV, Jan 27 2016
(Magma) 24^(1/24); // Vincenzo Librandi, Feb 03 2016

Crossrefs

Sequence in context: A272534 A332522 A173386 * A016687 A139356 A318359

Adjacent sequences: A011440 A011441 A011442 * A011444 A011445 A011446

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved