The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A010901 Pisot sequences E(4,7), P(4,7). 2
 4, 7, 12, 21, 37, 65, 114, 200, 351, 616, 1081, 1897, 3329, 5842, 10252, 17991, 31572, 55405, 97229, 170625, 299426, 525456, 922111, 1618192, 2839729, 4983377, 8745217, 15346786, 26931732, 47261895, 82938844, 145547525, 255418101, 448227521, 786584466 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Essentially the same as A005251: a(n) = A005251(n+5). See A008776 for definitions of Pisot sequences. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 S. B. Ekhad, N. J. A. Sloane, D. Zeilberger, Automated proofs (or disproofs) of linear recurrences satisfied by Pisot Sequences, arXiv:1609.05570 [math.NT] (2016) Index entries for linear recurrences with constant coefficients, signature (2, -1, 1). FORMULA a(n) = 2a(n-1) - a(n-2) + a(n-3) for n>=3. (Proved using the PtoRv program of Ekhad-Sloane-Zeilberger.) - N. J. A. Sloane, Sep 09 2016 MATHEMATICA LinearRecurrence[{2, -1, 1}, {4, 7, 12}, 35] (* Jean-François Alcover, Oct 05 2018 *) PROG (PARI) pisotE(nmax, a1, a2) = {   a=vector(nmax); a[1]=a1; a[2]=a2;   for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]+1/2));   a } pisotE(50, 4, 7) \\ Colin Barker, Jul 27 2016 CROSSREFS Cf. A005251, A008776, A010925. Sequence in context: A310793 A117949 A228879 * A187211 A023624 A123194 Adjacent sequences:  A010898 A010899 A010900 * A010902 A010903 A010904 KEYWORD nonn AUTHOR EXTENSIONS Edited by N. J. A. Sloane, Jul 26 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 28 11:40 EDT 2020. Contains 334681 sequences. (Running on oeis4.)