A037600 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.

1, 10, 70, 491, 3440, 24080, 168561, 1179930, 8259510, 57816571, 404716000, 2833012000, 19831084001, 138817588010, 971723116070, 6802061812491, 47614432687440, 333301028812080, 2333107201684561

Offset

1,2

Links

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

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

Index entries for 7-automatic sequences.

Formula

G.f.: ( x*(1+3*x) ) / ( (x-1)*(7*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007093(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; -7, 1, 0, 7]^(n-1)*[1; 10; 70; 491])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A229702 A337992 A257114 * A037705 A126505 A038779

Adjacent sequences: A037597 A037598 A037599 * A037601 A037602 A037603

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved