A178512 Reversed decimal expansions of A178510.

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

Offset

1,2

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).

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)

Mathematica

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

Prog

(Magma) [(1/119)*(120^n-1): n in [1..20]]; // Vincenzo Librandi, May 17 2011
(PARI) Vec(x/((x-1)*(120*x-1)) + O(x^20)) \\ Colin Barker, Oct 02 2015

Crossrefs

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

Sequence in context: A178510 A066625 A078277 * A050740 A121013 A287728

Adjacent sequences: A178509 A178510 A178511 * A178513 A178514 A178515

Keyword

nonn,base,easy

Author

Mark Dols, May 29 2010

Status

approved