A173393 a(n) = 10*n + 12^n.

22, 164, 1758, 20776, 248882, 2986044, 35831878, 429981776, 5159780442, 61917364324, 743008370798, 8916100448376, 106993205379202, 1283918464549004, 15407021574586518, 184884258895036576, 2218611106740437162, 26623333280885244084, 319479999370622927038, 3833759992447475122376

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..926

Index entries for linear recurrences with constant coefficients, signature (14,-25,12).

Formula

From R. J. Mathar, Feb 21 2010: (Start)

a(n)= 14*a(n-1) - 25*a(n-2) + 12*a(n-3).

G.f.: 2*x*(11 - 72*x + 6*x^2)/((1 - 12*x)*(x - 1)^2). (End)

E.g.f.: 10*x*exp(x) + exp(12*x) - 1. - Stefano Spezia, Apr 05 2026

Mathematica

A173393[n_] := 12^n + 10*n; Array[A173393, 25] (* Paolo Xausa, Apr 04 2026 *)

Crossrefs

Cf. A001021, A011540.

Sequence in context: A189416 A224185 A185859 * A141306 A067561 A223768

Adjacent sequences: A173390 A173391 A173392 * A173394 A173395 A173396

Keyword

nonn,easy

Author

Bobby Neal (bobby_neal4(AT)yahoo.com), Feb 17 2010

Extensions

More terms from Paolo Xausa, Apr 04 2026

Status

approved