A192793 Molecular topological indices of the crossed prism graphs.

108, 360, 900, 1872, 3420, 5688, 8820, 12960, 18252, 24840, 32868, 42480, 53820, 67032, 82260, 99648, 119340, 141480, 166212, 193680, 224028, 257400, 293940, 333792, 377100, 424008, 474660, 529200, 587772, 650520, 717588, 789120, 865260, 946152, 1031940, 1122768

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Eric Weisstein's World of Mathematics, Crossed Prism Graph.

Eric Weisstein's World of Mathematics, Molecular Topological Index.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 12*n*(2*n^2 + 7).

G.f.: 36*x*(3*x^2-2*x+3)/(x-1)^4. - Colin Barker, Nov 04 2012

From Elmo R. Oliveira, Aug 26 2025: (Start)

E.g.f.: 12*x*(9 + 6*x + 2*x^2)*exp(x).

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4.

a(n) = 36*A047667(n). (End)

Prog

(PARI) my(x='x+O('x^37)); Vec(36*x*(3-2*x+3*x^2)/(x-1)^4) \\ Elmo R. Oliveira, Aug 26 2025

Crossrefs

Cf. A047667.

Sequence in context: A202485 A202317 A202310 * A182171 A202435 A202428

Adjacent sequences: A192790 A192791 A192792 * A192794 A192795 A192796

Keyword

nonn,easy

Author

Eric W. Weisstein, Jul 10 2011

Extensions

More terms from Elmo R. Oliveira, Aug 26 2025

Status

approved