[seqfan] difference of Fibonacci's
Don Reble
djr at nk.ca
Thu Aug 10 11:06:10 CEST 2017
Seqfans:
While pondering a math-fun puzzle from James Propp, I also
considered:
%S A...... 1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,26,29,32,33,
%T A...... 34,35,37,42,47,50,52,53,54,55,56,57,58,60,63,68,76,84,87,88,89,90,92,
%U A...... 97,110,123,131,136,139,141,142,143,144,145,146,147,149,152,157,165
Positive numbers that are a difference of two Fibonacci numbers.
9 is here because fib(6) - fib(-2) = 8 - (-1) = 9.
Is it missing from the OEIS, or did I just miscalculate?
My math puzzle: prove that the two-way additive sequence
... -6 10 4 14 18 32 ... has no Fibonacci numbers.
--
Don Reble djr at nk.ca
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