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Revision History for A080040 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = 2*a(n-1) + 2*a(n-2) for n > 1; a(0)=2, a(1)=2.
(history; published version)
#93 by Andrew Howroyd at Sat Mar 02 12:29:16 EST 2024
STATUS

reviewed

approved

#92 by Michel Marcus at Sat Mar 02 11:55:47 EST 2024
STATUS

proposed

reviewed

#91 by Michel Marcus at Sat Mar 02 11:55:42 EST 2024
STATUS

editing

proposed

#90 by Michel Marcus at Sat Mar 02 11:54:58 EST 2024
LINKS

I. Amburg, K. Dasaratha, L. Flapan, T. Garrity, C. Lee, C. Mihailak, N. Neumann-Chun, S. Peluse, and M. Stoffregen, <a href="http://arxiv.org/abs/1509.05239">Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences</a>, arXiv:1509.05239v1 [math.CO] 17 Sep , 2015-2017.

STATUS

proposed

editing

#89 by Stefano Spezia at Sat Mar 02 11:21:18 EST 2024
STATUS

editing

proposed

#88 by Stefano Spezia at Sat Mar 02 11:18:54 EST 2024
LINKS

I. Amburg, K. Dasaratha, L. Flapan, T. Garrity, C. Lee, C. Mihailak, N. Neumann-Chun, S. Peluse, and M. Stoffregen, <a href="http://arxiv.org/abs/1509.05239">Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences</a>, arXiv:1509.05239v1 [math.CO] 17 Sep 2015.

Martin Burtscher, Igor Szczyrba, and RafaƂ Szczyrba, <a href="http://www.emis.de/journals/JIS/VOL18/Szczyrba/sz3.html">Analytic Representations of the n-anacci Constants and Generalizations Thereof</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5.

D. Jhala, G. P. S. Rathore, and K. Sisodiya, <a href="http://dx.doi.org/10.12691/tjant-2-4-3">Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes</a>, Turkish Journal of Analysis and Number Theory, 2014, Vol. 2, No. 4, 119-124.

#87 by Stefano Spezia at Sat Mar 02 11:17:57 EST 2024
DATA

2, 2, 8, 20, 56, 152, 416, 1136, 3104, 8480, 23168, 63296, 172928, 472448, 1290752, 3526400, 9634304, 26321408, 71911424, 196465664, 536754176, 1466439680, 4006387712, 10945654784, 29904084992, 81699479552, 223207129088, 609813217280, 1666040692736, 4551707820032

#86 by Stefano Spezia at Sat Mar 02 11:15:45 EST 2024
FORMULA

E.g.f.: 2*exp(x)*cosh(sqrt(3)*x). - Stefano Spezia, Mar 02 2024

STATUS

approved

editing

#85 by Charles R Greathouse IV at Thu Sep 08 08:45:09 EDT 2022
PROG

(MAGMAMagma) a:=[2, 2]; [n le 2 select a[n] else 2*Self(n-1) + 2*Self(n-2):n in [1..27]]; Marius A. Burtea, Jan 20 2020

(MAGMAMagma) R<x>:=PowerSeriesRing(Rationals(), 27); Coefficients(R!( (2-2*x)/(1-2*x-2*x^2))); // Marius A. Burtea, Jan 20 2020

Discussion
Thu Sep 08
08:45
OEIS Server: https://oeis.org/edit/global/2944
#84 by Peter Luschny at Wed Feb 26 15:12:15 EST 2020
STATUS

proposed

approved