The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A070265

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Showing entries 1-10 | older changes

A070265

Odd powers: numbers n = m^e with e > 1 odd.
(history; published version)

#34 by Charles R Greathouse IV at Sun Feb 16 08:32:46 EST 2025

LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/OddPower.html">Odd Powers</a>.

Discussion

Sun Feb 16

08:32

OEIS Server: https://oeis.org/edit/global/3014

#33 by Michael De Vlieger at Wed Aug 14 10:03:57 EDT 2024

STATUS

reviewed

approved

#32 by Michel Marcus at Wed Aug 14 09:59:42 EDT 2024

STATUS

proposed

reviewed

#31 by Chai Wah Wu at Wed Aug 14 09:00:37 EDT 2024

STATUS

editing

proposed

#30 by Chai Wah Wu at Wed Aug 14 09:00:34 EDT 2024

PROG

return kmax # Chai Wah Wu, Aug 14 2024

#29 by Chai Wah Wu at Wed Aug 14 09:00:26 EDT 2024

PROG

(Python)

from sympy import mobius, integer_nthroot

def A070265(n):

def f(x): return int(n-2+x+sum(mobius(k)*(integer_nthroot(x, k)[0]-1) for k in range(3, x.bit_length(), 2)))

kmin, kmax = 1, 2

while f(kmax) >= kmax:

kmax <<= 1

while True:

kmid = kmax+kmin>>1

if f(kmid) < kmid:

kmax = kmid

else:

kmin = kmid

if kmax-kmin <= 1:

break

return kmax # Chai Wah Wu, Aug 14 2024

STATUS

approved

editing

#28 by Michel Marcus at Mon Dec 21 02:25:51 EST 2020

STATUS

reviewed

approved

#27 by Joerg Arndt at Mon Dec 21 02:11:08 EST 2020

STATUS

proposed

reviewed

#26 by Amiram Eldar at Mon Dec 21 01:57:48 EST 2020

STATUS

editing

proposed

#25 by Amiram Eldar at Mon Dec 21 01:55:21 EST 2020

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/OddPower.html">Odd Powers</a>.