A165151 a(n) = (3*11^n - 7^n)/2.

1, 13, 157, 1825, 20761, 233173, 2598517, 28818985, 318655921, 3516744733, 38764899277, 426978842545, 4700721921481, 51735623710693, 569285638838437, 6263498473368505, 68907978330073441, 758054227491947053, 8339061763439391997, 91732936225029132865, 1009085096265691207801

Offset

0,2

Comments

Binomial transform of A165150. Inverse binomial transform of A165152.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (18,-77).

Formula

a(n) = 18*a(n-1) - 77*a(n-2) for n > 1; a(0) = 1, a(1) = 13.

G.f.: (1 - 5*x)/((1 - 7*x)*(1 - 11*x)).

E.g.f.: exp(7*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023

Mathematica

Table[(3 11^n-7^n)/2, {n, 0, 20}] (* or *) LinearRecurrence[{18, -77}, {1, 13}, 20] (* Harvey P. Dale, Jan 28 2012 *)

Prog

(Magma) [ (3*11^n-7^n)/2: n in [0..17] ];

Crossrefs

Cf. A165150, A165152.

Sequence in context: A244206 A159499 A125470 * A016125 A353147 A175519

Adjacent sequences: A165148 A165149 A165150 * A165152 A165153 A165154

Keyword

nonn,easy

Author

Klaus Brockhaus, Sep 15 2009

Status

approved