A304165 a(n) = 324*n^2 - 336*n + 102 (n >= 1).
90, 726, 2010, 3942, 6522, 9750, 13626, 18150, 23322, 29142, 35610, 42726, 50490, 58902, 67962, 77670, 88026, 99030, 110682, 122982, 135930, 149526, 163770, 178662, 194202, 210390, 227226, 244710, 262842, 281622, 301050, 321126, 341850, 363222, 385242, 407910, 431226, 455190, 479802, 505062
Offset: 1
Links
- Colin Barker, Table of n, a(n) for n = 1..1000
- Emeric Deutsch and Sandi Klavzar, M-polynomial and degree-based topological indices, Iranian J. Math. Chemistry, 6, No. 2, 2015, 93-102.
- S. Hayat, M. A. Malik, and M. Imran, Computing topological indices of honeycomb derived networks, Romanian J. of Information Science and Technology, 18, No. 2, 2015, 144-165.
- Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
Programs
-
GAP
List([1..40],n->324*n^2-336*n+102); # Muniru A Asiru, May 10 2018
-
Maple
seq(324*n^2-336*n+102,n=1..40);
-
Mathematica
Table[324n^2-336n+102,{n,40}] (* or *) LinearRecurrence[{3,-3,1},{90,726,2010},40] (* Harvey P. Dale, Apr 12 2020 *) -
PARI
a(n) = 324*n^2-336*n+102; \\ Altug Alkan, May 09 2018
-
PARI
Vec(6*x*(15 + 76*x + 17*x^2) / (1 - x)^3 + O(x^60)) \\ Colin Barker, May 10 2018
Formula
From Colin Barker, May 10 2018: (Start)
G.f.: 6*x*(15 + 76*x + 17*x^2)/(1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 3. (End)
E.g.f.: 6*(exp(x)*(17 - 2*x + 54*x^2) - 17). - Stefano Spezia, Apr 15 2023
Comments