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A037761 Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1,2. 2
3, 21, 148, 1038, 7269, 50883, 356182, 2493276, 17452935, 122170545, 855193816, 5986356714, 41904497001, 293331479007, 2053320353050, 14373242471352, 100612697299467, 704288881096269, 4930022167673884 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

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

FORMULA

From Colin Barker, Apr 30 2014: (Start)

a(n) = (-100-25*(-1)^n-(24-i*32)*(-i)^n-(24+32*i)*i^n+173*7^n)/400, where i=sqrt(-1).

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

G.f.: x*(2*x^3+x^2+3) / ((x-1)*(x+1)*(7*x-1)*(x^2+1)). (End)

MATHEMATICA

CoefficientList[Series[(2 x^3 + x^2 + 3)/((x - 1) (x + 1) (7 x - 1) (x^2 + 1)), {x, 0, 30}], x] (* Vincenzo Librandi, May 01 2014 *)

PROG

(PARI) Vec(x*(2*x^3+x^2+3)/((x-1)*(x+1)*(7*x-1)*(x^2+1)) + O(x^100)) \\ Colin Barker, Apr 30 2014

CROSSREFS

Sequence in context: A169634 A088088 A206638 * A037649 A037768 A037656

Adjacent sequences:  A037758 A037759 A037760 * A037762 A037763 A037764

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified October 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)