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A005618 a(n) = 6*a(n-1) - 8.
(Formerly M3528)
4

%I M3528 #44 Feb 19 2024 01:48:50

%S 4,16,88,520,3112,18664,111976,671848,4031080,24186472,145118824,

%T 870712936,5224277608,31345665640,188073993832,1128443962984,

%U 6770663777896,40623982667368,243743896004200,1462463376025192

%N a(n) = 6*a(n-1) - 8.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H J. T. Butler, <a href="http://faculty.nps.edu/butler/PDF/1978/But_IEEETC1978.pdf">Tandem networks of universal cells</a>, IEEE Trans. Computers, C-27 (1978), 785-799. (<a href="/A005618/a005618.pdf">Annotated scanned copy</a>)

%H K. K. Maitra, <a href="http://dx.doi.org/10.1109/TEC.1962.5219346">Cascaded switching networks of two-input flexible cells</a>, IEEE Trans. Electron. Computers, C-11 (1962), 136-143.

%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7,-6).

%F G.f.: ( 4-12*x ) / ( (6*x-1)*(x-1) ). - _Simon Plouffe_ in his 1992 dissertation

%F For n > 0, a(n) = N(n,2,2) where N(n,s,r) is defined in A005608. - _Sean A. Irvine_, Jul 13 2016

%t NestList[6#-8&,4,20] (* _Harvey P. Dale_, Mar 29 2018 *)

%Y Cf. A005608, A005609.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Jon E. Schoenfield_, Mar 27 2010

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)