A328606 Expansion of (1 + 9*x) / (1 - 2*x - 11*x^2).

1, 11, 33, 187, 737, 3531, 15169, 69179, 305217, 1371403, 6100193, 27285819, 121673761, 543491531, 2425394433, 10829195707, 48337730177, 215796613131, 963308258209, 4300379260859, 19197149362017, 85698470593483, 382565584169153, 1707814344866619, 7623850115593921, 34033658024720651

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (2,11).

Formula

a(n) = 2*a(n-1) + 11*a(n-2) for n>1. - Colin Barker, Oct 21 2019

a(n)/a(n-1) ~ 1 + 2*sqrt(3).

Prog

(PARI) Vec((1 + 9*x) / (1 - 2*x - 11*x^2) + O(x^30)) \\ Colin Barker, Dec 13 2019

Crossrefs

Cf. A328604, A328605.

Sequence in context: A213973 A262913 A179204 * A240414 A262328 A136199

Adjacent sequences: A328603 A328604 A328605 * A328607 A328608 A328609

Keyword

nonn,easy

Author

Kyle MacLean Smith, Oct 20 2019

Status

approved