The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A181655 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A181655

Expansion of (1+2x-x^3+x^4)/(1-4x^2+3x^4).
(history; published version)

#18 by M. F. Hasler at Sat Apr 06 08:45:23 EDT 2019

STATUS

reviewed

approved

#17 by Joerg Arndt at Sat Apr 06 08:30:31 EDT 2019

STATUS

proposed

reviewed

#16 by Michel Marcus at Sat Apr 06 08:05:04 EDT 2019

STATUS

editing

proposed

#15 by Michel Marcus at Sat Apr 06 08:04:55 EDT 2019

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,4,0,-3).

STATUS

proposed

editing

#14 by M. F. Hasler at Sat Apr 06 08:02:18 EDT 2019

STATUS

editing

proposed

#13 by M. F. Hasler at Sat Apr 06 08:02:15 EDT 2019

FORMULA

a(n) = 5*A038754(n+1)/6 - A040001(n)/2. - R. J. Mathar, May 14 2016

a(2n-1) = A060816(n-1), a(2n) = A198643(n-1), ; n >= 1. a(n+1) = 2*a(n) if n is odd. - M. F. Hasler, Apr 06 2019

PROG

(PARI) A181655(n)=if(bitand(n, 1), 3^(n\2)*5\2, n, 3^(n\2-1)*5-1, 1) \\ M. F. Hasler, Apr 06 2019

#12 by M. F. Hasler at Sat Apr 06 07:37:00 EDT 2019

FORMULA

a(n) = 5*A038754(n+1)/6 -A040001(n)/2. - R. J. Mathar, May 14 2016

a(2n) = A198643(n-1), n >= 1. - M. F. Hasler, Apr 06 2019

STATUS

approved

editing

#11 by R. J. Mathar at Sat May 14 09:42:07 EDT 2016

STATUS

editing

approved

#10 by R. J. Mathar at Sat May 14 09:41:42 EDT 2016

FORMULA

G.f.: (1+2x2*x-x^3+x^4)/((1-x^2)*(1-3x3*x^2)).

a(n) = 5*A038754(n+1)/6 -A040001(n)/2. - R. J. Mathar, May 14 2016

STATUS

approved

editing

#9 by Charles R Greathouse IV at Sat Jun 13 00:53:40 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,4,0,-3).

Discussion

Sat Jun 13

00:53

OEIS Server: https://oeis.org/edit/global/2439