The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A119332

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A119332

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

#7 by Harvey P. Dale at Sun Jul 21 15:18:41 EDT 2024

STATUS

editing

approved

#6 by Harvey P. Dale at Sun Jul 21 15:18:39 EDT 2024

MATHEMATICA

CoefficientList[Series[(1+x)/(1-2x^4), {x, 0, 90}], x] (* or *) LinearRecurrence[{0, 0, 0, 2}, {1, 1, 0, 0}, 90] (* Harvey P. Dale, Jul 21 2024 *)

STATUS

approved

editing

#5 by Charles R Greathouse IV at Sat Jun 13 00:52:06 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,2).

Discussion

Sat Jun 13

00:52

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

#4 by R. J. Mathar at Tue Dec 02 14:15:00 EST 2014

STATUS

editing

approved

#3 by R. J. Mathar at Tue Dec 02 14:14:48 EST 2014

LINKS

<a href="/index/Rec#order_04">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,2).

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:59:15 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, May 14 2006

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/287

#1 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006

NAME

Expansion of (1+x)/(1-2x^4).

DATA

1, 1, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 8, 8, 0, 0, 16, 16, 0, 0, 32, 32, 0, 0, 64, 64, 0, 0, 128, 128, 0, 0, 256, 256, 0, 0, 512, 512, 0, 0, 1024, 1024, 0, 0, 2048, 2048, 0, 0, 4096, 4096, 0, 0, 8192, 8192, 0, 0, 16384, 16384, 0, 0, 32768

OFFSET

0,5

COMMENTS

Row sums of A119331. Binomial transform is A119330.

FORMULA

a(n)=sum{k=0..n, sum{i=0..n, (-1)^(n-i)*C(n,i)*sum{j=0..i-k, C(k,2j)*C(i-k,2j)*2^j}}}.

KEYWORD

easy,nonn,new

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 14 2006

STATUS

approved