A281143 Decimal expansion of 10!^(1/10).

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

Offset

1,1

Comments

Base b such that log_b 10! = 10.

Inspired by the idea of utilizing the log scaled to 10! being 10, i.e., log_b 10! = 10, therefore b = 2^(4/5)*3^(2/5)*5^(1/5)*7^(1/10).

Links

Table of n, a(n) for n=1..105.

Formula

Equals A011101 * A011094 * A005534 * A011092.

Example

4.52872868811676476220330933719550879349863167608939046288611476046926255...

Mathematica

RealDigits[2^(4/5) 3^(2/5) 5^(1/5) 7^(1/10), 10, 111][[1]] (* or *)
RealDigits[Solve[Log[b, 10!] == 10, b][[1, 1, 2]], 10, 105][[1]]

Crossrefs

Cf. A002193, A005486, A005534, A011020, A011092, A011094, A011101.

Sequence in context: A194880 A111624 A019815 * A200684 A345210 A307385

Adjacent sequences: A281140 A281141 A281142 * A281144 A281145 A281146

Keyword

nonn,cons,easy

Author

Robert G. Wilson v, Jan 15 2017

Status

approved