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A259773
Product of the digits of the n-th Lucas number.
2
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
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
KEYWORD
nonn,base
AUTHOR
Vincenzo Librandi, Jul 05 2015
STATUS
approved