A234518 Decimal expansion of log_12 (28/13).

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

Offset

0,1

Comments

Decimal expansion of maximal value of function alpha(n) = alpha-deviation from primality of number n = log_n(sigma(n)) - log_n(n+1) = log_n[sigma(n) / (n+1)] for n = 12, when alpha(12) = log_12(sigma(12)) - log_12(12+1) = log_12(28) - log_12(13) = log_12 (28/13) = 0,308766187…; alpha(p) = 0 for p = prime.

Links

Table of n, a(n) for n=0..86.

Index entries for transcendental numbers

Formula

Decimal expansion of (A016651-A016636) / A016635.

Example

0,3087661875664928997884010546628878661481631771557148…

Mathematica

RealDigits[Log[12, 28/13], 10, 120][[1]] (* Harvey P. Dale, Apr 17 2022 *)

Prog

(PARI) log(28/13)/log(12) \\ Michel Marcus, Dec 11 2014

Crossrefs

Cf. A234515, A234516, A234517, A234519, A234520, A234521, A234522, A234523, A234524.

Sequence in context: A178114 A107370 A201580 * A068458 A238258 A011082

Adjacent sequences: A234515 A234516 A234517 * A234519 A234520 A234521

Keyword

nonn,cons

Author

Jaroslav Krizek, Jan 03 2014

Status

approved