The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A215465

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A215465

a(n) = (Lucas(4n) - Lucas(2n))/4.
(history; published version)

#46 by N. J. A. Sloane at Thu Jan 05 19:09:06 EST 2023

STATUS

proposed

approved

#45 by Michel Marcus at Fri Dec 30 01:04:28 EST 2022

STATUS

editing

proposed

#44 by Michel Marcus at Fri Dec 30 01:04:22 EST 2022

LINKS

P. Peter Bala, <a href="/A273622/a273622.pdf">Lucas sequences and divisibility sequences</a>

Hugh Williams, and R. K. Guy, <a href="http://dx.doi.org/10.1142/S1793042111004587">Some fourth-order linear divisibility sequences</a>, Intl. J. Number Theory vol. 7 (5) (2011) 1255-1277

STATUS

proposed

editing

#43 by Jon E. Schoenfield at Fri Dec 30 00:48:11 EST 2022

STATUS

editing

proposed

#42 by Jon E. Schoenfield at Fri Dec 30 00:48:01 EST 2022

CROSSREFS

Cf. A085695, A215466, A273622.

STATUS

proposed

editing

#41 by Michael Somos at Thu Dec 29 22:50:58 EST 2022

STATUS

editing

proposed

#40 by Michael Somos at Thu Dec 29 22:50:44 EST 2022

CROSSREFS

A085695, A215466, A273622.

STATUS

proposed

editing

Discussion

Thu Dec 29

22:50

Michael Somos: Added more info.

#39 by Michael Somos at Thu Dec 29 22:35:59 EST 2022

STATUS

editing

proposed

#38 by Michael Somos at Thu Dec 29 22:35:28 EST 2022

FORMULA

a(n) = a(-n) for all n in Z. - Michael Somos, Dec 29 2022

PROG

(PARI) {a(n) = my(w = quadgen(5)^(2*n)); (2*real(w^2-w) + imag(w^2-w))/4}; /* Michael Somos, Dec 29 2022 */

STATUS

approved

editing

Discussion

Thu Dec 29

22:35

Michael Somos: Added more info.

#37 by Charles R Greathouse IV at Thu Sep 08 08:46:03 EDT 2022

PROG

(MAGMAMagma) [(Lucas(4*n) - Lucas(2*n))/4: n in [0..20]]; // Vincenzo Librandi, Dec 23 2012

Discussion

Thu Sep 08

08:46

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