The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A082587 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A082587

G.f.: (3+x+x^2+2*x^3)/(1-x^2-x^4).
(history; published version)

#17 by Alois P. Heinz at Fri Aug 23 22:51:06 EDT 2024

STATUS

proposed

approved

#16 by Jason Yuen at Fri Aug 23 22:49:18 EDT 2024

STATUS

editing

proposed

#15 by Jason Yuen at Fri Aug 23 22:49:13 EDT 2024

FORMULA

a(n) = A000204(floor(n/2)) + 2 - n mod 2). - Reinhard Zumkeller, Aug 03 2013

STATUS

approved

editing

#14 by Harvey P. Dale at Sun Apr 09 15:08:44 EDT 2023

STATUS

editing

approved

#13 by Harvey P. Dale at Sun Apr 09 15:08:41 EDT 2023

MATHEMATICA

CoefficientList[Series[(3+x+x^2+2x^3)/(1-x^2-x^4), {x, 0, 50}], x] (* or *) LinearRecurrence[{0, 1, 0, 1}, {3, 1, 4, 3}, 50] (* Harvey P. Dale, Apr 09 2023 *)

STATUS

approved

editing

#12 by Charles R Greathouse IV at Sat Jun 13 00:51:01 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,1,0,1).

Discussion

Sat Jun 13

00:51

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

#11 by R. J. Mathar at Sat Sep 27 15:50:34 EDT 2014

STATUS

editing

approved

#10 by R. J. Mathar at Sat Sep 27 15:49:52 EDT 2014

LINKS

<a href="/index/ReaRec#recLCCorder_04">Index entries for to sequences related to with linear recurrences with constant coefficients</a>, signature (0,1,0,1).

KEYWORD

nonn,easy

STATUS

approved

editing

#9 by Reinhard Zumkeller at Wed Aug 14 12:07:22 EDT 2013

STATUS

editing

approved

#8 by Reinhard Zumkeller at Sat Aug 03 14:43:11 EDT 2013

COMMENTS

a(2*n) = A000204(n+2), a(2*n+1) = A000204(n+1); a(2*n+1) = a(2*n-1) for n > 0. Reinhard Zumkeller, Aug 03 2013

LINKS

<a href="/index/Rea#recLCC">Index entries for sequences related to linear recurrences with constant coefficients</a>

FORMULA

a(n) = A000204(floor(n/2)) + 2 - n mod 2). - Reinhard Zumkeller, Aug 03 2013

PROG

(Haskell)

import Data.List (transpose)

a082587 n = a082587_list !! n

a082587_list = concat $ transpose [tail a000204_list, a000204_list]

-- Reinhard Zumkeller, Aug 03 2013

Discussion

Sat Aug 10

17:07

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