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A033123 Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1. 1
1, 5, 26, 131, 655, 3276, 16381, 81905, 409526, 2047631, 10238155, 51190776, 255953881, 1279769405, 6398847026, 31994235131, 159971175655, 799855878276, 3999279391381, 19996396956905, 99981984784526, 499909923922631, 2499549619613155, 12497748098065776 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

FORMULA

a(n) = 5*a(n-1) + a(n-3) - 5*a(n-4).

G.f.: x*(1+x^2) / ((1-x)*(1-5*x)*(1+x+x^2)). - Colin Barker, Dec 24 2015

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {1, 0, 1}], 5], {n, 30}] (* or *) LinearRecurrence[ {5, 0, 1, -5}, {1, 5, 26, 131}, 30] (* Harvey P. Dale, Mar 25 2019 *)

PROG

(PARI) Vec(x*(1+x^2)/((1-x)*(1-5*x)*(1+x+x^2)) + O(x^30)) \\ Colin Barker, Dec 24 2015

CROSSREFS

Sequence in context: A244617 A003583 A033115 * A331883 A047770 A047757

Adjacent sequences:  A033120 A033121 A033122 * A033124 A033125 A033126

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified May 7 18:29 EDT 2021. Contains 343652 sequences. (Running on oeis4.)