The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A057083

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A057083

Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3*x + 3*x^2).
(history; published version)

#104 by R. J. Mathar at Sat Feb 25 14:17:11 EST 2023

STATUS

editing

approved

#103 by R. J. Mathar at Sat Feb 25 14:17:07 EST 2023

FORMULA

D-finite with recurrence: For n > 5, a(n) = -27*a(n-6) - Gerald McGarvey, Apr 21 2005

STATUS

approved

editing

#102 by Andrew Howroyd at Mon Feb 13 11:28:29 EST 2023

STATUS

reviewed

approved

#101 by Joerg Arndt at Mon Feb 13 01:32:06 EST 2023

STATUS

proposed

reviewed

#100 by Michel Marcus at Mon Feb 13 00:53:46 EST 2023

STATUS

editing

proposed

#99 by Michel Marcus at Mon Feb 13 00:53:39 EST 2023

LINKS

Vladimir Victorovich Kruchinin, <a href="http://arxiv.org/abs/1009.2565">Composition of ordinary generating functions</a>, arXiv:1009.2565 [math.CO], 2010.

W. Wolfdieter Lang, <a href="http://www.fq.math.ca/Scanned/38-5/lang.pdf">On polynomials related to powers of the generating function of Catalan's numbers</a>, Fib. Quart. 38 (2000) 408-419. Eqs. (38) and (45),lhs, m=3.

STATUS

proposed

editing

Discussion

Mon Feb 13

00:53

Michel Marcus: see pdf

#98 by Michel Marcus at Mon Feb 13 00:34:46 EST 2023

STATUS

editing

proposed

#97 by Michel Marcus at Mon Feb 13 00:34:41 EST 2023

LINKS

Vladimir Victorovich Kruchinin, <a href="http://arxiv.org/abs/1009.2565">Composition of ordinary generating functions</a>, arXiv:1009.2565 [math.CO], 20112010.

<a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a>.

STATUS

approved

editing

#96 by Charles R Greathouse IV at Thu Sep 08 08:45:01 EDT 2022

PROG

(MAGMAMagma) I:=[1, 3]; [n le 2 select I[n] else 3*Self(n-1) - 3*Self(n-2): n in [1..30]]; // G. C. Greubel, Oct 23 2018

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#95 by N. J. A. Sloane at Thu Jan 30 21:29:14 EST 2020

FORMULA

D-finite with recurrence: For n > 5, a(n) = -27*a(n-6) - Gerald McGarvey, Apr 21 2005

Discussion

Thu Jan 30

21:29

OEIS Server: https://oeis.org/edit/global/2847