A037733 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0,3.

2, 15, 105, 738, 5168, 36177, 253239, 1772676, 12408734, 86861139, 608027973, 4256195814, 29793370700, 208553594901, 1459875164307, 10219126150152, 71533883051066, 500737181357463, 3505160269502241

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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*(2+x+3*x^3) ) / ( (x-1)*(7*x-1)*(1+x)*(1+x^2) ). - R. J. Mathar, Oct 14 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 1, 0, 3}], 7], {n, 20}] (* Harvey P. Dale, Jan 24 2026 *)

Crossrefs

Sequence in context: A332048 A295268 A037524 * A308938 A037556 A037492

Adjacent sequences: A037730 A037731 A037732 * A037734 A037735 A037736

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved