A064100 a(n) = n * (100^n - 1)/99.

1, 202, 30303, 4040404, 505050505, 60606060606, 7070707070707, 808080808080808, 90909090909090909, 10101010101010101010, 1111111111111111111111, 121212121212121212121212, 13131313131313131313131313, 1414141414141414141414141414, 151515151515151515151515151515

Offset

1,2

Comments

Recreational, but striking.

Links

Harry J. Smith, Table of n, a(n) for n = 1..100

Formula

From G. C. Greubel, Nov 07 2024: (Start)

a(n) = n*A094028(n-1).

G.f.: x*(1 - 100*x^2)/((1 - x)^2*(1 - 100*x)^2).

E.g.f.: (1/99)*x*(100*exp(100*x) - exp(x)). (End)

Mathematica

Table[(100^n-1)/99 n, {n, 20}] (* Harvey P. Dale, Jul 25 2019 *)

Prog

(PARI) for(n=1, 22, print(n*(100^n-1)/99))
(Magma) [n*(100^n -1)/99: n in [1..20]]; // G. C. Greubel, Nov 07 2024
(SageMath) [n*(100^n -1)//99 for n in range(1, 21)] # G. C. Greubel, Nov 07 2024

Crossrefs

Cf. A094028.

Sequence in context: A229640 A221892 A332120 * A159382 A209501 A198526

Adjacent sequences: A064097 A064098 A064099 * A064101 A064102 A064103

Keyword

easy,nonn

Author

Jason Earls, Sep 16 2001

Status

approved