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A272911
Difference sequence of the sequence the increasing sequence of products of two Lucas numbers A000032.
1
2, 1, 3, 2, 2, 1, 4, 2, 3, 7, 1, 4, 11, 3, 2, 5, 18, 4, 1, 10, 29, 5, 2, 3, 15, 47, 10, 1, 4, 25, 76, 15, 3, 2, 5, 40, 123, 25, 4, 1, 10, 65, 199, 40, 5, 2, 3, 15, 105, 322, 65, 10, 1, 4, 25, 170, 521, 105, 15, 3, 2, 5, 40, 275, 843, 170, 25, 4, 1, 10, 65
OFFSET
1,1
COMMENTS
Conjecture: every term is a product of two Lucas numbers or a product of two Fibonacci numbers.
LINKS
MATHEMATICA
z = 100; t = Take[Sort[Flatten[Table[LucasL[m] LucasL[n], {n, 1, z}, {m, n, z}]]], 1000]; Differences[t]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 10 2016
STATUS
approved