A076824 - OEIS

A076824

Let a(1)=a(2)=1, a(n)=(2^ceiling(a(n-1)/2)+1)/a(n-2).

1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3, 1, 1, 3, 5, 3

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..105.

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

FORMULA

5-periodic with period (1, 1, 3, 5, 3)

MATHEMATICA

LinearRecurrence[{0, 0, 0, 0, 1}, {1, 1, 3, 5, 3}, 105] (* Ray Chandler, Aug 25 2015 *)

nxt[{a_, b_}]:={b, (2^Ceiling[b/2]+1)/a}; NestList[nxt, {1, 1}, 110][[;; , 1]] (* or *) PadRight[{}, 120, {1, 1, 3, 5, 3}] (* Harvey P. Dale, Jun 09 2025 *)

CROSSREFS

Cf. A076839.

Sequence in context: A096196 A351179 A379946 * A103728 A243533 A239730

Adjacent sequences: A076821 A076822 A076823 * A076825 A076826 A076827

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Nov 24 2002

STATUS

approved