The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A240467 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A240467

Inverse of 152nd cyclotomic polynomial.
(history; published version)

#25 by Alois P. Heinz at Fri Feb 28 08:19:32 EST 2020

STATUS

reviewed

approved

#24 by Michel Marcus at Fri Feb 28 06:32:22 EST 2020

STATUS

proposed

reviewed

#23 by Jinyuan Wang at Fri Feb 28 06:27:51 EST 2020

STATUS

editing

proposed

Discussion

Fri Feb 28

06:32

Michel Marcus: yes it will

#22 by Jinyuan Wang at Fri Feb 28 06:26:42 EST 2020

PROG

(PARI) Vec(1/polcyclo(152) + O(x^99)) \\ Jinyuan Wang, Feb 28 2020

STATUS

approved

editing

Discussion

Fri Feb 28

06:27

Jinyuan Wang: I don't know if we need to remove spaces in order_72 link. It will be ugly.

#21 by M. F. Hasler at Sun Feb 18 23:07:56 EST 2018

STATUS

proposed

approved

#20 by M. F. Hasler at Sun Feb 18 23:07:52 EST 2018

STATUS

editing

proposed

#19 by M. F. Hasler at Sun Feb 18 23:07:41 EST 2018

CROSSREFS

In general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - M. F. Hasler, Feb 18 2018

#18 by M. F. Hasler at Sun Feb 18 23:07:19 EST 2018

CROSSREFS

CfIn general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - _M. similar sequences listed in A240328F. Hasler_, Feb 18 2018

Cf. similar sequences (namely 1/Phi(N), N <= 75) listed in A240328.

STATUS

approved

editing

#17 by M. F. Hasler at Sun Feb 18 23:06:13 EST 2018

STATUS

editing

approved

#16 by M. F. Hasler at Sun Feb 18 23:06:07 EST 2018

COMMENTS

LINKS

<a href="/index/Rec#order_72">Index entries for linear recurrences with constant coefficients</a>, order 72, signature (0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1).

STATUS

approved

editing