

A200995


Numbers not expressible as a product of Lucas numbers.


6



5, 10, 13, 15, 17, 19, 20, 23, 25, 26, 30, 31, 34, 35, 37, 38, 39, 40, 41, 43, 45, 46, 50, 51, 52, 53, 55, 57, 59, 60, 61, 62, 65, 67, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 82, 83, 85, 86, 89, 90, 91, 92, 93, 95, 97, 100, 101, 102, 103, 104, 105, 106, 107, 109
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OFFSET

1,1


COMMENTS

a(n+1)  a(n) <= 5 for all n.


LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Lucas Number
Index entries for Lucas sequences


EXAMPLE

65 = 5*13 is not the product of Lucas numbers, so 65 is in the sequence.


MATHEMATICA

listMultiply[lst_] := Take[Union@Flatten@Table[lst[[i]]*lst[[j]], {i, Length[lst]}, {j, i}], 46]; A200381 = Nest[listMultiply, LucasL@Range[0, 9], 3]; Complement[Range@Last[A200381], A200381]


CROSSREFS

Cf. A000032. Complement of A200381.
Sequence in context: A073503 A313378 A226386 * A049197 A324928 A009000
Adjacent sequences: A200992 A200993 A200994 * A200996 A200997 A200998


KEYWORD

nonn


AUTHOR

Arkadiusz Wesolowski, Jan 07 2013


STATUS

approved



