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Revision History for A098178 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A098178 Expansion of (1+x)(1-x+x^2)/((1-x)(1+x^2)).
(history; published version)
#32 by Charles R Greathouse IV at Thu Sep 08 08:45:14 EDT 2022
PROG

(MAGMAMagma) [1] cat &cat [[1, 0, 1, 2]^^30]; // Wesley Ivan Hurt, Jul 07 2016

Discussion
Thu Sep 08 08:45
OEIS Server: https://oeis.org/edit/global/2944
#31 by Joerg Arndt at Fri Jul 08 03:23:37 EDT 2016
STATUS

reviewed

approved

#30 by Michel Marcus at Thu Jul 07 13:16:46 EDT 2016
STATUS

proposed

reviewed

#29 by Ilya Gutkovskiy at Thu Jul 07 13:04:42 EDT 2016
STATUS

editing

proposed

#28 by Ilya Gutkovskiy at Thu Jul 07 13:04:36 EDT 2016
FORMULA

E.g.f.: exp(x) + cos(x) - 1. - Ilya Gutkovskiy, Jul 07 2016

STATUS

proposed

editing

#27 by Wesley Ivan Hurt at Thu Jul 07 12:56:15 EDT 2016
STATUS

editing

proposed

#26 by Wesley Ivan Hurt at Thu Jul 07 12:55:59 EDT 2016
COMMENTS

Transform of A011782 under the Chebyshev mapping g(x)-> ((1-x^2)/(1+x^2)))) * g(x/(1+x^2)).

FORMULA

G.f.: (1+x)(1-x+x^2)/((1-x)(1+x^2)).

a(n) = 1 + cos(piPi*n/2) - 0^n.

a(n) = a(n-1) - a(n-2) + a(n-3), ) for n>2.

a(n) = a(n-4) for n>4. - Wesley Ivan Hurt, Jul 07 2016

PROG

(MAGMA) [1] cat &cat [[1, 0, 1, 2]^^30]; // Wesley Ivan Hurt, Jul 07 2016

CROSSREFS

Cf. A007877, A098179.

STATUS

approved

editing

#25 by Joerg Arndt at Thu Sep 03 13:37:26 EDT 2015
STATUS

editing

approved

#24 by Joerg Arndt at Thu Sep 03 13:36:41 EDT 2015
COMMENTS

1, followed by period 4, repeat [1, 0, 1, 2, 1]. [Joerg Arndt, Jan 06 2014]

#23 by Joerg Arndt at Thu Sep 03 13:36:15 EDT 2015
COMMENTS

1, followed by period 84, repeat [1, 0, 1, 2, 1, 0, 1, 2]. [Joerg Arndt, Jan 06 2014]

STATUS

approved

editing

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Last modified August 29 11:15 EDT 2024. Contains 375512 sequences. (Running on oeis4.)