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A235702 Fixed points of A001175 (Pisano periods). 3
1, 24, 120, 600, 3000, 15000, 75000, 375000, 1875000, 9375000, 46875000, 234375000, 1171875000, 5859375000, 29296875000, 146484375000, 732421875000, 3662109375000, 18310546875000, 91552734375000, 457763671875000, 2288818359375000, 11444091796875000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A001175(a(n)) = a(n); A001178(a(n)) = 0.

LINKS

Table of n, a(n) for n=1..23.

J. D. Fulton and W. L. Morris, On arithmetical functions related to the Fibonacci numbers, Acta Arithmetica, 16 (1969), 105-110.

Wikipedia, Pisano period

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

FORMULA

a(n) = 24*5^(n-2) for n>1. a(n) = 5*a(n-1) for n>2. G.f.: -x*(19*x+1) / (5*x-1). - Colin Barker, Jan 16 2014

MATHEMATICA

LinearRecurrence[{5}, {1, 24}, 30] (* or *) Join[{1}, NestList[5#&, 24, 30]] (* Harvey P. Dale, May 07 2017 *)

PROG

(Haskell)

a235702 n = if n == 1 then 1 else 24 * 5 ^ (n - 2)

a235702_list = 1 : iterate (* 5) 24

(PARI)

Vec(-x*(19*x+1)/(5*x-1) + O(x^100)) \\ Colin Barker, Jan 16 2014

CROSSREFS

Cf. A008606, A000351.

Sequence in context: A099317 A052760 A179720 * A052754 A050213 A124657

Adjacent sequences:  A235699 A235700 A235701 * A235703 A235704 A235705

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Jan 15 2014

STATUS

approved

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Last modified September 25 12:56 EDT 2017. Contains 292469 sequences.