A037677 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2,3.

1, 7, 51, 360, 2521, 17647, 123531, 864720, 6053041, 42371287, 296599011, 2076193080, 14533351561, 101733460927, 712134226491, 4984939585440, 34894577098081, 244262039686567, 1709834277805971

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-8,8,-7).

Formula

a(n) = 8a(n-1) - 8a(n-2) + 8a(n-3) - 7a(n-4).

G.f.: ( x*(1-x+3*x^2) ) / ( (x-1)*(7*x-1)*(x^2+1) ). - R. J. Mathar, May 04 2015

Crossrefs

Sequence in context: A039308 A029525 A037500 * A034354 A015555 A137382

Adjacent sequences: A037674 A037675 A037676 * A037678 A037679 A037680

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved