A292022 a(n) = 4n(n^2+2).

12, 48, 132, 288, 540, 912, 1428, 2112, 2988, 4080, 5412, 7008, 8892, 11088, 13620, 16512, 19788, 23472, 27588, 32160, 37212, 42768, 48852, 55488, 62700, 70512, 78948, 88032, 97788, 108240, 119412, 131328, 144012, 157488, 171780, 186912, 202908, 219792, 237588

Offset

1,1

Comments

For n > 1, Wiener index of the 2n-crossed prism graph.

Links

Table of n, a(n) for n=1..39.

Eric Weisstein's World of Mathematics, Crossed Prism Graph

Eric Weisstein's World of Mathematics, Wiener Index

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

Formula

a(n) = 4*n*(n^2 + 2).

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

G.f.: (12 x (1 + x^2))/(-1 + x)^4.

Mathematica

Table[4 n (n^2 + 2), {n, 50}]
LinearRecurrence[{4, -6, 4, -1}, {12, 48, 132, 288}, 20]
CoefficientList[Series[(12 (1 + x^2))/(-1 + x)^4, {x, 0, 20}], x]

Crossrefs

Sequence in context: A173548 A006564 A239352 * A265040 A059162 A333032

Adjacent sequences: A292019 A292020 A292021 * A292023 A292024 A292025

Keyword

nonn,easy

Author

Eric W. Weisstein, Sep 07 2017

Status

approved