A037782 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,2,0.

3, 22, 156, 1092, 7647, 53530, 374712, 2622984, 18360891, 128526238, 899683668, 6297785676, 44084499735, 308591498146, 2160140487024, 15120983409168, 105846883864179, 740928187049254, 5186497309344780

Offset

1,1

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*(3+x+2*x^2) / ( (x-1)*(7*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, May 01 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 1, 2, 0}], 7], {n, 20}] (* Harvey P. Dale, Apr 01 2018 *)

Crossrefs

Sequence in context: A037775 A037663 A091167 * A041661 A037586 A183259

Adjacent sequences: A037779 A037780 A037781 * A037783 A037784 A037785

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved