A304612 a(n) = 75*2^n - 38.

37, 112, 262, 562, 1162, 2362, 4762, 9562, 19162, 38362, 76762, 153562, 307162, 614362, 1228762, 2457562, 4915162, 9830362, 19660762, 39321562, 78643162, 157286362, 314572762, 629145562, 1258291162, 2516582362, 5033164762, 10066329562, 20132659162, 40265318362, 80530636762, 161061273562

Offset

0,1

Comments

a(n) is the number of vertices of the nanostar dendrimer NS[n] from the Mirzargar reference.

Links

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

M. Mirzargar, PI, Szeged and edge Szeged polynomials of a dendrimer nanostar, MATCH, Commun. Math. Comput. Chem. 62, 2009, 363-370.

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

Formula

G.f.: (37 + x)/((1 - x)*(1 - 2*x)). - Bruno Berselli, May 17 2018

Maple

seq(75*2^n-38, n = 0 .. 40);

Mathematica

75*2^Range[0, 50] - 38 (* Paolo Xausa, Jul 31 2024 *)

Prog

(PARI) a(n) = 75*2^n - 38; \\ Altug Alkan, May 17 2018
(PARI) Vec((37 + x)/((1 - x)*(1 - 2*x)) + O(x^40)) \\ Colin Barker, May 23 2018

Crossrefs

Cf. A304613, A304614, A304615.

Sequence in context: A176549 A118536 A003164 * A138638 A193105 A044288

Adjacent sequences: A304609 A304610 A304611 * A304613 A304614 A304615

Keyword

nonn,easy

Author

Emeric Deutsch, May 16 2018

Status

approved