A011005 -id:A011005 - cp's OEIS frontend

A234522 Decimal expansion of 7^(1/4) - 5^(1/4).

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

Offset: 0

Jaroslav Krizek, Jan 14 2014

Decimal expansion of maximal value of function beta(n) = sigma(n)^(1/n) - (n+1)^(1/n) for n = 4, where beta(n) is called the beta-deviation from primality of number n (see A234520). Lim_n->infinity beta(n) = 0.

An algebraic integer with degree 16 and minimal polynomial x^16 - 48x^12 - 3896x^8 - 53952x^4 + 16. - Charles R Greathouse IV, Apr 25 2016

			0.13122778047656520129933335...

Index entries for algebraic numbers, degree 16

Cf. A234515, A234516, A234517, A234518, A234519, A234520, A234521, A234523, A234524.

RealDigits[N[7^(1/4)-5^(1/4), 100]][[1]] (* Georg Fischer, Apr 04 2020 *)
RealDigits[Surd[7,4]-Surd[5,4],10,120][[1]] (* Harvey P. Dale, Mar 23 2025 *)

7^(1/4) - 5^(1/4) \\ Charles R Greathouse IV, Apr 25 2016

Equals A011005-A011003.

a(97) corrected by Georg Fischer, Apr 04 2020

A011011 Decimal expansion of 4th root of 14.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane

			1.934336420267669308917861835...

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

RealDigits[14^(1/4), 10, 100][[1]] (* Alonso del Arte, Mar 14 2015 *)

sqrtn(14,4) \\ Charles R Greathouse IV, Apr 15 2014

Equals A010767*A011005. - R. J. Mathar, Mar 10 2025

A018064 Powers of fourth root of 7 rounded to nearest integer.

Original entry on oeis.org

1, 2, 3, 4, 7, 11, 19, 30, 49, 80, 130, 211, 343, 558, 907, 1476, 2401, 3905, 6352, 10333, 16807, 27338, 44467, 72329, 117649, 191365, 311270, 506304, 823543, 1339556, 2178890, 3544131, 5764801, 9376890, 15252230, 24808920, 40353607, 65638231

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Cf. A011005.

R := RealField(20); r := R!7^(1/4); vals := [Round(r^i) : i in [0..40]]; print vals; // Vincenzo Librandi, May 31 2025

Round[(Power[7, (4)^-1])^Range[0,40]]  (* Harvey P. Dale, Jan 16 2011 *)

from sympy import integer_nthroot
def A018064(n): return -integer_nthroot(m:=7**n, 4)[0]+integer_nthroot(m<<4, 4)[0] # Chai Wah Wu, Jun 20 2024

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A234522 Decimal expansion of 7^(1/4) - 5^(1/4).

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A011011 Decimal expansion of 4th root of 14.

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A018064 Powers of fourth root of 7 rounded to nearest integer.

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