A259773 Product of the digits of the n-th Lucas number.

2, 1, 3, 4, 7, 1, 8, 18, 28, 42, 6, 81, 12, 10, 96, 72, 0, 105, 1960, 972, 70, 1344, 0, 0, 0, 1764, 672, 0, 0, 1440, 0, 0, 0, 24192, 0, 0, 34560, 0, 0, 1536, 43008, 0, 0, 0, 0, 0, 0, 41803776, 0, 0, 120960, 3024000, 0, 120960, 0, 0, 0, 6531840, 0, 440899200

Offset

0,1

Comments

Probably, the last nonzero term is a(401) = 2^71*3^45*5^9*7^4. - Giovanni Resta, Jul 14 2015

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Formula

a(n) = A007954(A000032(n)). - Michel Marcus, Jul 05 2015

Example

9349 is the 19th Lucas number; its digit product is 972, therefore a(19) = 972.
15127 is the 20th Lucas number; its digit product is 70, therefore a(20) = 70.

Mathematica

Table[Times@@IntegerDigits[LucasL[n]], {n, 0, 100}]

Prog

(Magma) [&*Intseq(Lucas(n)): n in [0..80]];

Crossrefs

Cf. A000032, A007954, A139374, A246558.

Sequence in context: A338860 A358642 A060214 * A030133 A139374 A111958

Adjacent sequences: A259770 A259771 A259772 * A259774 A259775 A259776

Keyword

nonn,base

Author

Vincenzo Librandi, Jul 05 2015

Status

approved