A037682 - OEIS

A037682

Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2.

1, 5, 28, 142, 711, 3555, 17778, 88892, 444461, 2222305, 11111528, 55557642, 277788211, 1388941055, 6944705278, 34723526392, 173617631961, 868088159805, 4340440799028, 21702203995142, 108511019975711, 542555099878555

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OFFSET

1,2

LINKS

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

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

FORMULA

G.f.: ( x*(1+3*x^2+2*x^3) ) / ( (x-1)*(5*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 11 2015

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {1, 0, 3, 2}], 5], {n, 30}] (* or *) LinearRecurrence[ {5, 0, 0, 1, -5}, {1, 5, 28, 142, 711}, 30] (* Harvey P. Dale, Jul 03 2021 *)

CROSSREFS

Sequence in context: A297322 A037591 A270922 * A271686 A272288 A283516

Adjacent sequences: A037679 A037680 A037681 * A037683 A037684 A037685

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved