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%I #5 Sep 09 2022 23:36:52
%S 0,1,2,3,5,7,11,17,23,29,31,37,43,59,67,97,101,121,125,137,149,181,
%T 233,394,603,647,863,871,1093,1665,2237,2254,3113,4501,5531,6137,8597,
%U 14734,22511
%N Increasing values of the Improperly Reduced Fibonacci Sequence (A058981).
%t y = 0; c = l = i = z = 1; d = {1}; Do[ x = y + z; c++; j = 1; While[ ! IntegerQ[ x / d[ [ j ] ] ] && j <= i, j++ ]; If[ j > i, d = Append[ d, x ]; i++, x = x/d[ [ j ] ]; d = Delete[ d, j ]; d = Append[ d, x ] ]; If[ x > l, l = x; Print[ x ] ]; y = z; z = x, {n, 1, 10^7} ]
%Y Cf. A058981.
%K nonn,more
%O 0,3
%A _Robert G. Wilson v_, Jan 15 2001
%E a(31)-a(38) from _Sean A. Irvine_, Sep 09 2022
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