A304166 a(n) = 972*n^2 - 1224*n + 414 with n > 0.
162, 1854, 5490, 11070, 18594, 28062, 39474, 52830, 68130, 85374, 104562, 125694, 148770, 173790, 200754, 229662, 260514, 293310, 328050, 364734, 403362, 443934, 486450, 530910, 577314, 625662, 675954, 728190, 782370, 838494, 896562, 956574, 1018530, 1082430, 1148274, 1216062, 1285794, 1357470, 1431090, 1506654
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
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Maple
seq(972*n^2-1224*n+414, n = 1 .. 40);
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PARI
a(n) = 972*n^2-1224*n+414; \\ Altug Alkan, May 09 2018
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PARI
Vec(18*x*(9 + 76*x + 23*x^2) / (1 - x)^3 + O(x^60)) \\ Colin Barker, May 10 2018
Formula
From Colin Barker, May 10 2018: (Start)
G.f.: 18*x*(9 + 76*x + 23*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.: 18*(exp(x)*(23 - 14*x + 54*x^2) - 23). - Stefano Spezia, Apr 15 2023
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