A020730 Pisot sequences L(3,7) or S(3,7).

3, 7, 17, 42, 104, 258, 641, 1593, 3959, 9840, 24458, 60793, 151108, 375597, 933592, 2320557, 5768028, 14337139, 35636713, 88579410, 220174961, 547271804, 1360311028, 3381219496, 8404434755, 20890250880, 51925274519, 129066622961, 320810882887

Offset

0,1

Comments

Coincides with the Shallit (generalized Pisot) sequence S(3,7) - as defined in A022020 - at least up to n=30000. - R. J. Mathar, Feb 12 2016

Links

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

Index entries for Pisot sequences

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, 3, 7) \\ Colin Barker, Aug 07 2016

Crossrefs

See A008776 for definitions of Pisot sequences.

See A014009 for first differences.

Sequence in context: A244782 A175094 A086395 * A003440 A244455 A102071

Adjacent sequences: A020727 A020728 A020729 * A020731 A020732 A020733

Keyword

nonn

Author

David W. Wilson

Status

approved