A037598 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.

1, 8, 40, 201, 1008, 5040, 25201, 126008, 630040, 3150201, 15751008, 78755040, 393775201, 1968876008, 9844380040, 49221900201, 246109501008, 1230547505040, 6152737525201, 30763687626008, 153818438130040, 769092190650201

Offset

1,2

Links

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

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

Index entries for 5-automatic sequences.

Formula

G.f.: x*(1+3*x) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007091(a(n)) = A037603(n). - R. J. Mathar, Apr 27 2015

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -5, 1, 0, 5]^(n-1)*[1; 8; 40; 201])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Cf. A007091.

Sequence in context: A303391 A270730 A128625 * A037703 A272396 A051199

Adjacent sequences: A037595 A037596 A037597 * A037599 A037600 A037601

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved