The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A089113

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A089113

Convoluted convolved Fibonacci numbers G_7^(r).
(history; published version)

#12 by Alois P. Heinz at Sun Apr 01 21:09:40 EDT 2018

STATUS

reviewed

approved

#11 by Joerg Arndt at Sun Apr 01 04:19:07 EDT 2018

STATUS

proposed

reviewed

#10 by Jean-François Alcover at Sun Apr 01 04:09:34 EDT 2018

STATUS

editing

proposed

#9 by Jean-François Alcover at Sun Apr 01 04:09:31 EDT 2018

MATHEMATICA

terms = 40; f[z_] = 1/(1-z-z^2); m[r_, j_] := SeriesCoefficient[(1/r)*z* DivisorSum[r, MoebiusMu[#]*f[z^#]^(r/#)&], {z, 0, j}]; Table[m[r, 7], {r, 1, terms}] (* Jean-François Alcover, Apr 01 2018 *)

STATUS

approved

editing

#8 by Joerg Arndt at Wed Jul 31 09:17:36 EDT 2013

STATUS

proposed

approved

#7 by Colin Barker at Wed Jul 31 06:45:23 EDT 2013

STATUS

editing

proposed

#6 by Colin Barker at Wed Jul 31 06:45:05 EDT 2013

FORMULA

Empirical g.f.: -x*(2*x^14 -4*x^13 -2*x^12 +6*x^11 +2*x^10 -5*x^9 -8*x^8 +10*x^7 +12*x^6 -6*x^5 -5*x^4 +3*x^3 +4*x^2 -8*x -13) / ((x -1)^6 * (x +1)^3 * (x^2 -x +1) * (x^2 +x +1)^2). - Colin Barker, Jul 31 2013

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 17:35:54 EDT 2012

EXTENSIONS

Edited by _Emeric Deutsch (deutsch(AT)duke.poly.edu), _, Mar 06 2004

Discussion

Fri Mar 30

17:35

OEIS Server: https://oeis.org/edit/global/173

#4 by Russ Cox at Fri Mar 30 16:49:50 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Dec 05 2003

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Dec 05 2003