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

Author

Vincenzo Librandi, Jul 05 2015

Keywords

• nonn
• base

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A000032, A007954, A139374, A246558.

Programs

Magma

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

Mathematica

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

Formula

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