A216179 a(n) = 10^n + 3.

13, 103, 1003, 10003, 100003, 1000003, 10000003, 100000003, 1000000003, 10000000003, 100000000003, 1000000000003, 10000000000003, 100000000000003, 1000000000000003, 10000000000000003, 100000000000000003, 1000000000000000003, 10000000000000000003

Offset

1,1

Comments

1 followed by n - 1 0's followed by 3.

Links

Table of n, a(n) for n=1..19.

Markus Tervooren, Factorizations of 1(0)w3.

Index entries for linear recurrences with constant coefficients, signature (11,-10).

Formula

a(n) = 10*a(n-1) - 27 with n > 1, a(1)=13.

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

O.g.f.: x*(13 - 40*x)/((10*x - 1)*(x - 1)).

E.g.f.: (3 + exp(9*x))*exp(x) - 4.

a(n) = 11*a(n-1) - 10*a(n-2); a(1)=13, a(2)=103.

a(n) = A011557(n) + 3. (End)

Mathematica

Table[10^n + 3, {n, 1, 19}]
NestList[10# - 27 &, 13, 18]

Crossrefs

Cf. A011557 (powers of 10), A049054, A159352 (primes).

Sequence in context: A220734 A268991 A386701 * A240804 A100277 A087398

Adjacent sequences: A216176 A216177 A216178 * A216180 A216181 A216182

Keyword

nonn,easy

Author

Ivan Panchenko, Mar 10 2013

Status

approved