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 A278692 Pisot sequence T(4,14). 0
 4, 14, 49, 171, 596, 2077, 7238, 25223, 87897, 306303, 1067403, 3719680, 12962320, 45171020, 157411717, 548547468, 1911575138, 6661446313, 23213770727, 80895217952, 281903201529, 982374694626, 3423373822671, 11929753885009, 41572739387791, 144872448909191, 504850696923520, 1759300875378480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS FORMULA a(n) = floor(a(n-1)^2/a(n-2)), a(0) = 4, a(1) = 14. Conjectures: (Start) G.f.: (4 - 2*x + x^2 - x^3)/(1 - 4*x + 2*x^2 - x^3 + x^4). a(n) = 4*a(n-1) - 2*a(n-2) + a(n-3) - a(n-4). (End) MATHEMATICA RecurrenceTable[{a[0] == 4, a[1] == 14, a[n] == Floor[a[n - 1]^2/a[n - 2]]}, a, {n, 27}] PROG (PARI) first(n)=my(v=vector(n+1)); v[1]=4; v[2]=14; for(i=3, #v, v[i]=v[i-1]^2\v[i-2]); v \\ Charles R Greathouse IV, Nov 28 2016 CROSSREFS Cf. A008776 for definitions of Pisot sequences. Cf. A010919, A019495, A022031. Cf. A010904 (Pisot sequence E(4,14)), A251221 (seems to be Pisot sequence P(4,14)), A277084 (Pisot sequence L(4,14)). Sequence in context: A245824 A110686 A071729 * A071733 A291384 A010904 Adjacent sequences:  A278689 A278690 A278691 * A278693 A278694 A278695 KEYWORD nonn,easy AUTHOR Ilya Gutkovskiy, Nov 28 2016 STATUS approved

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Last modified October 20 04:37 EDT 2018. Contains 316378 sequences. (Running on oeis4.)