A141845 a(n) = 5*a(n-1) + A047201(n), a(1) = 1. A047201 = numbers not divisible by 5: (1, 2, 3, 4, 6, 7, 8, 9, 11, ...).

1, 7, 38, 194, 976, 4887, 24443, 122224, 611131, 3055667, 15278348, 76391754, 381958786, 1909793947, 9548969753, 47744848784, 238724243941, 1193621219727, 5968106098658, 29840530493314, 149202652466596, 746013262333007

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (6,-5,0,1,-6,5).

Formula

G.f.: (1+x+x^2+x^3+x^4)/((1-x)^2(1+x)(1+x^2)(1-5x)). - R. J. Mathar, Sep 06 2008

Example

a(4) = 194 = 5*a(3) + A047201(4) = 5*38 + 4.

Crossrefs

Cf. A047201.

Sequence in context: A346395 A055146 A014827 * A048437 A099461 A104553

Adjacent sequences: A141842 A141843 A141844 * A141846 A141847 A141848

Keyword

nonn

Author

Gary W. Adamson, Jul 11 2008

Extensions

Extended and corrected by R. J. Mathar, Sep 06 2008

Status

approved