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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 18 15:27 EDT 2021. Contains 347527 sequences. (Running on oeis4.)