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 A278127 a(n) = 99*n + 71. 1
 71, 170, 269, 368, 467, 566, 665, 764, 863, 962, 1061, 1160, 1259, 1358, 1457, 1556, 1655, 1754, 1853, 1952, 2051, 2150, 2249, 2348, 2447, 2546, 2645, 2744, 2843, 2942, 3041, 3140, 3239, 3338, 3437, 3536, 3635, 3734, 3833, 3932, 4031, 4130, 4229, 4328, 4427, 4526 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(n) (n>=1) is the second Zagreb index of the triple-layered naphthalenophane G(n,n,n) having n hexagons in each layer. The second Zagreb index of a simple connected graph is the sum of the degree products d(i)d(j) over all edges ij of the graph. The pictorial definition of G(p,q,r) can be viewed in the E. Flapan references. The M-polynomial of the triple layered naphthalenophane G(p,q,r) is M(G(p,q,r),x,y) = 8*x^2*y^2 + 4*(p + q + r + 2)*x^2*y^3 + (p + q + r - 1)*x^3*y^3 (p, q, r>=1). REFERENCES Erica Flapan, When Topology Meets Chemistry, Cambridge Univ. Press, Cambridge, 2000. LINKS E. Deutsch and Sandi Klavzar, M-polynomial and degree-based topological indices, Iranian J. Math. Chemistry, 6, No. 2, 2015, 93-102. Erica Flapan and Brian Forcum, Intrinsic chirality of triple-layered naphthalenophane and related graphs, J. Math. Chemistry, 24, 1998, 379-388. Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA G.f.: (71 + 28*x)/(1 - x)^2. MAPLE seq(99*n+71, n = 0..45); CROSSREFS Cf. A278126. Sequence in context: A142277 A063330 A142344 * A044403 A044784 A142488 Adjacent sequences: A278124 A278125 A278126 * A278128 A278129 A278130 KEYWORD nonn,easy AUTHOR Emeric Deutsch, Nov 13 2016 STATUS approved

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Last modified December 5 21:40 EST 2022. Contains 358594 sequences. (Running on oeis4.)