A305266 a(n) = 14*2^n + 73.

87, 101, 129, 185, 297, 521, 969, 1865, 3657, 7241, 14409, 28745, 57417, 114761, 229449, 458825, 917577, 1835081, 3670089, 7340105, 14680137, 29360201, 58720329, 117440585, 234881097, 469762121, 939524169, 1879048265, 3758096457, 7516192841, 15032385609, 30064771145

Offset

0,1

Comments

For n>=1, a(n) is the number of edges of the first type of dendrimer nanostar G[n], shown pictorially in the Iranmanesh et al. reference (Fig. 1).

Links

Table of n, a(n) for n=0..31.

A. Iranmanesh, N. A. Gholami, Computing the Szeged index of two type dendrimer nanostars, Croatica Chemica Acta, 81, No. 2, 2008, 299-303.

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

G.f.: (87 - 160*x)/((1-x)(1-2*x)). - Vincenzo Librandi, May 30 2018

Maple

seq(14*2^n+73, n = 0..40);

Mathematica

Table[14  2^n + 73, {n, 0, 35}] (* Vincenzo Librandi, May 30 2018 *)
LinearRecurrence[{3, -2}, {87, 101}, 40] (* Harvey P. Dale, Dec 07 2019 *)

Prog

(Magma) [14*2^n+73: n in [0..35]]; // Vincenzo Librandi, May 30 2018

Crossrefs

Cf. A305265, A305267, A305268.

Sequence in context: A231403 A256083 A038005 * A046003 A095567 A205672

Adjacent sequences: A305263 A305264 A305265 * A305267 A305268 A305269

Keyword

nonn,easy

Author

Emeric Deutsch, May 29 2018

Status

approved