The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003954

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A003954

Expansion of g.f.: (1+x)/(1-11*x).
(history; published version)

#57 by Charles R Greathouse IV at Thu Sep 08 08:44:32 EDT 2022

PROG

(MAGMAMagma) [1] cat [12*11^(n-1): n in [1..20]]; // Vincenzo Librandi, Dec 11 2012

Discussion

Thu Sep 08

08:44

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

#56 by Sean A. Irvine at Wed Sep 25 16:58:11 EDT 2019

STATUS

reviewed

approved

#55 by Michel Marcus at Wed Sep 25 07:23:06 EDT 2019

STATUS

proposed

reviewed

#54 by G. C. Greubel at Tue Sep 24 16:16:53 EDT 2019

STATUS

editing

proposed

#53 by G. C. Greubel at Tue Sep 24 16:16:46 EDT 2019

MAPLE

k := 12; seq(`if `(n = 0 then , 1 else , k*(k-1)^(n-1); fi), n = 0..25); # modified by _G. C. Greubel_, Sep 24 2019

MATHEMATICA

CoefficientList[Series[(1 + x)/(1 - 11 x11x), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 10 2012 *)

STATUS

proposed

editing

#52 by G. C. Greubel at Tue Sep 24 16:14:58 EDT 2019

STATUS

editing

proposed

#51 by Alois P. Heinz at Tue Sep 24 07:57:14 EDT 2019

LINKS

<a href="/index/Tra#trees">Index entries for sequences related to trees</a>

STATUS

reviewed

editing

Discussion

Tue Sep 24

16:14

G. C. Greubel: From the moon's view: the link lengths still look better in a different way. As they are the lengths are (short, long, medium) and would look better as (short, medium, long).

#50 by Michel Marcus at Tue Sep 24 00:44:26 EDT 2019

STATUS

proposed

reviewed

Discussion

Tue Sep 24

02:17

Michel Marcus: please restore link

04:52

Michel Marcus: allo la lune, ici la terre , me recevez-vous ?

#49 by G. C. Greubel at Mon Sep 23 20:53:58 EDT 2019

STATUS

editing

proposed

Discussion

Tue Sep 24

00:44

Michel Marcus: I don't see why you moved the index link

#48 by G. C. Greubel at Mon Sep 23 20:53:40 EDT 2019

NAME

GExpansion of g.f.: (1+x)/(1-11*x).

LINKS

<a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (11).

FORMULA

a(n) = Sum_{ 0<=k<=0..n } A029653(n, k)*x^k for x = 10. - Philippe Deléham, Jul 10 2005

G.f.: (1+x)/(1-11x11*x). The Hankel transform of this sequence is [1,-12,0,0,0,0,0,0,0,...]. - Philippe Deléham, Nov 21 2007

PROG

(Sage) [1]+[12*11^(n-1) for n in (1..20)] # G. C. Greubel, Sep 23 2019

(GAP) Concatenation([1], List([1..20], n-> 12*11^(n-1) )); # G. C. Greubel, Sep 23 2019

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing