A178512 Reversed decimal expansions of A178510.

1, 121, 14521, 1742521, 209102521, 25092302521, 3011076302521, 361329156302521, 43359498756302521, 5203139850756302521, 624376782090756302521, 74925213850890756302521, 8991025662106890756302521, 1078923079452826890756302521, 129470769534339226890756302521

Offset: 1

Author

Mark Dols, May 29 2010

Keywords

• nonn
• base
• easy

Comments

Related to backward decimal expansion of fraction 1/119 and Pell numbers. [How? - Joerg Arndt, May 14 2011]

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..150
• Index entries for linear recurrences with constant coefficients, signature (121,-120).

Crossrefs

Cf. A000129, A021083, A038207, A178510, A178511.

Programs

Magma

[(1/119)*(120^n-1): n in [1..20]]; // Vincenzo Librandi, May 17 2011

Mathematica

NestList[120#+1&,1,20] (* Harvey P. Dale, May 21 2023 *)

PARI

Vec(x/((x-1)*(120*x-1)) + O(x^20)) \\ Colin Barker, Oct 02 2015

Formula

a(n) = 120*a(n-1) + 1.

From Colin Barker, Oct 02 2015: (Start)

a(n) = 121*a(n-1) - 120*a(n-2) for n > 2.

G.f.: x / ((x-1)*(120*x-1)).

(End)