

A048626


Pisot sequence P(6,9).


2



6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425, 85626, 125491, 183916, 269542, 395033, 578949, 848491, 1243524, 1822473, 2670964, 3914488, 5736961, 8407925, 12322413, 18059374
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OFFSET

0,1


LINKS

Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,1).


FORMULA

a(n) = a(n1) + a(n3) (Checked up to n = 1000)
a(n) = A048625(n+1).  R. J. Mathar, Oct 15 2008


MATHEMATICA

LinearRecurrence[{1, 0, 1}, {6, 9, 13}, 42] (* Robert G. Wilson v, Jul 12 2014 *)


PROG

(PARI) pisotP(nmax, a1, a2) = {
a=vector(nmax); a[1]=a1; a[2]=a2;
for(n=3, nmax, a[n] = ceil(a[n1]^2/a[n2]1/2));
a
}
pisotP(50, 6, 9) \\ Colin Barker, Aug 08 2016


CROSSREFS

Subsequence of A048625, A000930. See A008776 for definitions of Pisot sequences.
Cf. A020721.
Sequence in context: A315968 A315969 A092949 * A002598 A315970 A315971
Adjacent sequences: A048623 A048624 A048625 * A048627 A048628 A048629


KEYWORD

nonn


AUTHOR

David W. Wilson


STATUS

approved



