A037684 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2.

1, 7, 52, 366, 2563, 17941, 125590, 879132, 6153925, 43077475, 301542328, 2110796298, 14775574087, 103429018609, 724003130266, 5068021911864, 35476153383049, 248333073681343, 1738331515769404

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Index entries for linear recurrences with constant coefficients, signature (7,0,0,1,-7).

Formula

a(n) = 7a(n-1) + a(n-4) - 7a(n-5)

G.f.: ( x*(1+3*x^2+2*x^3) ) / ( (x-1)*(7*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 11 2015

Crossrefs

Sequence in context: A254946 A258845 A037593 * A246513 A015559 A097180

Adjacent sequences: A037681 A037682 A037683 * A037685 A037686 A037687

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved