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A020743 Pisot sequence L(7,10). 3
7, 10, 15, 23, 36, 57, 91, 146, 235, 379, 612, 989, 1599, 2586, 4183, 6767, 10948, 17713, 28659, 46370, 75027, 121395, 196420, 317813, 514231, 832042, 1346271, 2178311, 3524580, 5702889, 9227467, 14930354, 24157819, 39088171, 63245988, 102334157, 165580143 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for Pisot sequences

Index entries for linear recurrences with constant coefficients, signature (2,0,-1).

FORMULA

a(n) = Fib(n+5)+2 = A157725(n+5). a(n) = 2a(n-1) - a(n-3).

PROG

(PARI) pisotL(nmax, a1, a2) = {

  a=vector(nmax); a[1]=a1; a[2]=a2;

  for(n=3, nmax, a[n] = ceil(a[n-1]^2/a[n-2]));

  a

}

pisotL(50, 7, 10) \\ Colin Barker, Aug 07 2016

CROSSREFS

Subsequence of A018910. See A008776 for definitions of Pisot sequences.

Cf. A020717.

Sequence in context: A155716 A025002 A120136 * A088350 A085382 A083390

Adjacent sequences:  A020740 A020741 A020742 * A020744 A020745 A020746

KEYWORD

nonn,easy

AUTHOR

David W. Wilson

STATUS

approved

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Last modified December 9 09:33 EST 2019. Contains 329877 sequences. (Running on oeis4.)