The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A019326 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A019326

Cyclotomic polynomials at x=8.
(history; published version)

#13 by Michael S. Branicky at Sat Aug 07 07:17:10 EDT 2021

CROSSREFS

Cf. A020500 (x = 1), A0193220 A019320 - A019331 (x = 2..13).

#12 by Michael S. Branicky at Sat Aug 07 07:16:01 EDT 2021

CROSSREFS

Cf. A020500 (x = 1), A0193220 - A019331 (x = 2..13).

#11 by Michael S. Branicky at Sat Aug 07 07:08:30 EDT 2021

DATA

8, 7, 9, 73, 65, 4681, 57, 299593, 4097, 262657, 3641, 1227133513, 4033, 78536544841, 233017, 14709241, 16777217, 321685687669321, 261633, 20587884010836553, 16519105, 60247241209, 954437177, 84327972908386521673, 16773121, 1152956690052710401, 61083979321

PROG

(Python)

from sympy.polys.specialpolys import cyclotomic_poly

def a(n): return 8 if n == 0 else cyclotomic_poly(n, x=8)

print([a(n) for n in range(27)]) # Michael S. Branicky, Aug 07 2021

STATUS

approved

editing

#10 by Russ Cox at Fri Mar 30 18:36:21 EDT 2012

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

Simon Plouffe

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/212

#9 by Russ Cox at Sun Jul 10 18:44:17 EDT 2011

LINKS

<a href="/Sindx_index/Cy.html#CyclotomicPolynomialsValuesAtX">Index entries for cyclotomic polynomials, values at X</a>

Discussion

Sun Jul 10

18:44

OEIS Server: https://oeis.org/edit/global/33

#8 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010

LINKS

<a href="/Sindx_Cy.html#CyclotomicPolynomialsValuesAtX">Index entries for cyclotomic polynomials, values at X</a>

KEYWORD

nonn,new

nonn

#7 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Cy.html#CyclotomicPolynomialsValuesAtX">Index entries for cyclotomic polynomials, values at X</a>

KEYWORD

nonn,new

nonn

#6 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)math.uqamgmail.cacom)

#5 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

MAPLE

with(numtheory, cyclotomic); f := n->subs(x=8, cyclotomic(n, x)); seq(f(i), i=0..64);

KEYWORD

nonn,new

nonn

#4 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

MAPLE

with(numtheory, cyclotomic); f:=n->subs(x=8, cyclotomic(n, x)); seq(f(i), i=0..64);

KEYWORD

nonn,new

nonn