A155674 a(n) = 11^n - 10^n + 1^n.

1, 2, 22, 332, 4642, 61052, 771562, 9487172, 114358882, 1357947692, 15937424602, 185311670612, 2138428376722, 24522712143932, 279749833583242, 3177248169415652, 35949729863572162, 405447028499293772, 4559917313492231482, 51159090448414546292, 572749994932560009202

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..950

Index entries for linear recurrences with constant coefficients, signature (22,-131,110).

Formula

G.f.: 1/(1-11*x)-1/(1-10*x)+1/(1-x). E.g.f.: e^(11*x)-e^(10*x)+e^x.

a(n) = 21*a(n-1)-110*a(n-2)+90 with a(0)=1, a(1)=2. - Vincenzo Librandi, Jul 21 2010

Mathematica

A155674[n_] := 11^n - 10^n + 1; Array[A155674, 25, 0] (* Paolo Xausa, Mar 03 2026 *)

Crossrefs

Cf. A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666, A155667, A155668, A155669, A155670, A155671, A155672, A155673.

Sequence in context: A299824 A355724 A266888 * A279619 A364826 A245113

Adjacent sequences: A155671 A155672 A155673 * A155675 A155676 A155677

Keyword

nonn,easy

Author

Mohammad K. Azarian, Feb 01 2009

Extensions

More terms from Paolo Xausa, Mar 03 2026

Status

approved