The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A053209 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A053209

Row sums of A051598.
(history; published version)

#36 by N. J. A. Sloane at Fri Oct 27 22:00:45 EDT 2023

AUTHOR

_Asher Auel (asher.auel(AT)reed.edu), _, Dec 14 1999

Discussion

Fri Oct 27

22:00

OEIS Server: https://oeis.org/edit/global/2974

#35 by Joerg Arndt at Wed Sep 28 05:33:11 EDT 2022

STATUS

reviewed

approved

#34 by Michel Marcus at Wed Sep 28 01:46:54 EDT 2022

STATUS

proposed

reviewed

#33 by Stefano Spezia at Wed Sep 28 00:58:08 EDT 2022

STATUS

editing

proposed

#32 by Stefano Spezia at Wed Sep 28 00:57:29 EDT 2022

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).

FORMULA

E.g.f.: (1 - 8*exp(x) + 9*exp(2*x))/2. - Stefano Spezia, Sep 28 2022

CROSSREFS

Cf. A048491.

STATUS

approved

editing

#31 by Charles R Greathouse IV at Thu Sep 08 08:45:00 EDT 2022

PROG

(MAGMAMagma) I:=[5, 14]; [1] cat [n le 2 select I[n] else 3*Self(n-1) - 2*Self(n-2): n in [1..30]]; // G. C. Greubel, Sep 03 2018

(MAGMAMagma) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!( (1+x)^2)/((1-x)*(1-2*x))); // Marius A. Burtea, Oct 15 2019

Discussion

Thu Sep 08

08:45

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

#30 by Bruno Berselli at Wed Oct 16 06:20:40 EDT 2019

STATUS

reviewed

approved

#29 by Joerg Arndt at Wed Oct 16 01:44:25 EDT 2019

STATUS

proposed

reviewed

#28 by Joerg Arndt at Wed Oct 16 01:44:22 EDT 2019

STATUS

editing

proposed

#27 by Joerg Arndt at Wed Oct 16 01:44:10 EDT 2019

PROG

(JavaScript)

function sumArray(arr, k) {

t = 0;

for (j = 0; j <= k; j++) t += arr[j];

return t;

}

a = new Array();

a[0] = 1;

for (i = 1; i < 50; i++) a[i] = 4 * i + sumArray(a, i - 1);

document.write(a + "<br>"); // Jon Perry, Nov 20 2012

STATUS

proposed

editing