A011094 -id:A011094 - cp's OEIS frontend

A011130 Decimal expansion of 5th root of 45.

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

Offset: 1

N. J. A. Sloane

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

sqrtn(45,5) \\ Charles R Greathouse IV, Apr 16 2014

Equals A011094*A005534. - R. J. Mathar, Dec 17 2024

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

Original entry on oeis.org

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

Robert G. Wilson v, Jan 15 2017

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).

			4.52872868811676476220330933719550879349863167608939046288611476046926255...

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

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]]

Equals A011101 * A011094 * A005534 * A011092.

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A011130 Decimal expansion of 5th root of 45.

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

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