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A274371
Numbers that are a product of distinct Fibonacci numbers (A000045) and also a product of distinct Lucas numbers (A000032, including 2).
1
1, 2, 3, 6, 8, 21, 24, 42, 126, 144, 168, 432, 504, 987, 1008, 1974, 3024, 5922, 7896, 23688, 46368, 47376, 139104, 142128, 973728, 2178309, 4356618, 13069854, 17426472, 45765216, 52279416, 104558832, 313676496, 4807526976, 14422580928, 100958066496
OFFSET
1,2
COMMENTS
Contains A273803 as a subsequence.
EXAMPLE
504 = 3*8*21 = 4*7*18.
MATHEMATICA
s = {1}; z = 60; f = Fibonacci[2 + Range[z]]; Do[s = Union[s, Select[s*f[[i]], # <= f[[z]] &]], {i, z}]; s = Prepend[s, 0]; u = Take[s, 100]
g = LucasL[-1 + Range[z]]; t = {1}; Do[t = Union[t, Select[t*g[[i]], # <= g[[z]] &]], {i, z}]; w = Intersection[s, t]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 19 2016
STATUS
approved