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a(1)=1, a(2)=82; thereafter a(n) = squarefree part of a(n-1)+a(n-2).
3

%I #6 Mar 07 2024 13:59:09

%S 1,83,21,26,47,73,30,103,133,59,3,62,65,127,3,130,133,263,11,274,285,

%T 559,211,770,109,879,247,1126,1373,51,89,35,31,66,97,163,65,57,122,

%U 179,301,30,331,1,83,21,26,47,73,30,103,133,59,3,62,65,127,3,130,133,263,11,274,285,559,211,770,109,879,247,1126,1373,51,89,35,31,66,97,163,65,57,122,179,301,30,331

%N a(1)=1, a(2)=82; thereafter a(n) = squarefree part of a(n-1)+a(n-2).

%C Periodic with period length 43. The period is [1, 83, 21, 26, 47, 73, 30, 103, 133, 59, 3, 62, 65, 127, 3, 130, 133, 263, 11, 274, 285, 559, 211, 770, 109, 879, 247, 1126, 1373, 51, 89, 35, 31, 66, 97, 163, 65, 57, 122, 179, 301, 30, 331].

%D Fred W. Helenius, Posting to Math Fun Mailing List, May 06 2016

%H <a href="/index/Rec#order_43">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%Y Cf. A272636.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, May 05 2016