A171148 a(n) = 3 + 10^n + 3*100^n.

7, 313, 30103, 3001003, 300010003, 30000100003, 3000001000003, 300000010000003, 30000000100000003, 3000000001000000003, 300000000010000000003, 30000000000100000000003, 3000000000001000000000003, 300000000000010000000000003, 30000000000000100000000000003, 3000000000000001000000000000003

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..450

Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).

Formula

From Elmo R. Oliveira, Mar 26 2026: (Start)

O.g.f.: (7 - 464*x + 3130*x^2)/((1 - 101*x + 100*x^2)*(1 - 10*x)).

E.g.f.: (3 + exp(9*x) + 3*exp(99*x))*exp(x).

a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3).

a(n) = 3*A098608(n) + A216179(n) for n > 0. (End)

Mathematica

A171148[n_] := 3*100^n + 10^n + 3; Array[A171148, 20, 0] (* Paolo Xausa, Mar 03 2026 *)

Crossrefs

Cf. A098608, A216179.

Sequence in context: A086215 A119163 A364479 * A219267 A244851 A082160

Adjacent sequences: A171145 A171146 A171147 * A171149 A171150 A171151

Keyword

easy,nonn

Author

Jason Earls, Dec 04 2009

Extensions

More terms from Paolo Xausa, Mar 03 2026

Status

approved