The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A010911 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A010911

Pisot sequence E(3,11), a(n) = floor(a(n-1)^2/a(n-2) + 1/2).
(history; published version)

#27 by Jinyuan Wang at Tue Mar 10 04:02:27 EDT 2020

NAME

Pisot sequence E(3,11), a(n) =[ floor(a(n-1)^2/a(n-2) + 1/2 ]).

REFERENCES

D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.

Shalosh B. Ekhad, N. J. A. Sloane and Doron Zeilberger, Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences, Preprint, 2016.

#26 by Jinyuan Wang at Tue Mar 10 04:01:40 EDT 2020

LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,2,1).

FORMULA

a(n) = A108153(n+2). - Jinyuan Wang, Mar 10 2020

STATUS

approved

editing

#25 by Alois P. Heinz at Fri Oct 05 08:47:31 EDT 2018

STATUS

proposed

approved

#24 by Altug Alkan at Fri Oct 05 08:43:54 EDT 2018

STATUS

editing

proposed

#23 by Altug Alkan at Fri Oct 05 08:43:49 EDT 2018

PROG

(PARI) x='x+O('x^33); Vec((3+2*x+x^2)/(1-3*x-2*x^2-x^3)) \\ Altug Alkan, Oct 05 2018

STATUS

proposed

editing

#22 by Jean-François Alcover at Fri Oct 05 08:30:59 EDT 2018

STATUS

editing

proposed

#21 by Jean-François Alcover at Fri Oct 05 08:30:55 EDT 2018

MATHEMATICA

LinearRecurrence[{3, 2, 1}, {3, 11, 40}, 30] (* Jean-François Alcover, Oct 05 2018 *)

STATUS

approved

editing

#20 by R. J. Mathar at Thu Nov 30 16:45:04 EST 2017

STATUS

editing

approved

#19 by R. J. Mathar at Thu Nov 30 16:44:58 EST 2017

CROSSREFS

Cf. A108153.

STATUS

approved

editing

#18 by R. J. Mathar at Mon Jul 17 11:51:05 EDT 2017

STATUS

editing

approved