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#12 by Alois P. Heinz at Tue May 19 15:10:51 EDT 2020
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#11 by Michel Marcus at Tue May 19 13:04:07 EDT 2020
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#10 by Colin Barker at Tue May 19 12:58:06 EDT 2020
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#9 by Colin Barker at Tue May 19 12:57:27 EDT 2020
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| LINKS
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-69,90).
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| FORMULA
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-69,90).
From Colin Barker, May 19 2020: (Start)
G.f.: x*(1 + 3*x) / ((1 - 3*x)^2*(1 - 10*x)).
a(n) = 16*a(n-1) - 69*a(n-2) + 90*a(n-3) for n>3.
(End)
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#8 by Colin Barker at Tue May 19 12:53:31 EDT 2020
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| FORMULA
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-69,90).
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| PROG
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(PARI) concat(0, Vec(x*(1 + 3*x) / ((1 - 3*x)^2*(1 - 10*x)) + O(x^20))) \\ Colin Barker, May 19 2020
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| KEYWORD
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nonn,changed,easy
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| STATUS
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approved
editing
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#7 by Alois P. Heinz at Sun May 10 22:58:20 EDT 2020
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#6 by Andrew Howroyd at Sun May 10 22:50:02 EDT 2020
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#5 by Andrew Howroyd at Sun May 10 22:32:30 EDT 2020
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| FORMULA
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a(n) = (13*10^(n-1) - 13*3^(n-1) - 14*(n-1)*3^(n-1))/49. - Andrew Howroyd, May 10 2020
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| PROG
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(PARI) a(n) = {(13*10^(n-1) - 13*3^(n-1) - 14*(n-1)*3^(n-1))/49} \\ Andrew Howroyd, May 10 2020
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| CROSSREFS
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Cf. A334773.
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#4 by Andrew Howroyd at Sun May 10 18:47:42 EDT 2020
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| DATA
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0, 1, 19, 235, 2539, 26119, 263863, 2648107, 26513875, 265250287, 2652876847, 26530008499, 265304159371, 2653054879735, 26530591844071, 265306057146811, 2653061016284227, 26530611583384063, 265306120353746335, 2653061217872021443, 26530612224048411643
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| LINKS
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Andrew Howroyd, <a href="/A152494/b152494.txt">Table of n, a(n) for n = 1..200</a>
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| EXTENSIONS
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Terms a(12) and beyond from Andrew Howroyd, May 10 2020
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| STATUS
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approved
editing
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#3 by Russ Cox at Sat Mar 31 12:35:19 EDT 2012
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| AUTHOR
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_R. H. Hardin (rhhardin(AT)att.net), _, Dec 06 2008
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Discussion
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| Sat Mar 31
| 12:35
| OEIS Server: https://oeis.org/edit/global/875
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