A274371 Numbers that are a product of distinct Fibonacci numbers (A000045) and also a product of distinct Lucas numbers (A000032, including 2).
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
Examples
504 = 3*8*21 = 4*7*18.
Programs
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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]
Comments