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A174970
The base 6 expansion of the number of trailing zeros of the base 6 expansion of (6^n)!.
1
2, 25, 254, 2554, 25554, 255554, 2555553, 25555554, 255555552, 2555555552, 25555555551, 255555555551, 2555555555552, 25555555555551, 255555555555544, 2555555555555550, 25555555555555545, 255555555555555550
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..18.
Antonio M. Oller-Marcén and José María Grau,
On the Base-b Expansion of the Number of Trailing Zeros of b^k!
, J. Int. Seq. 14 (2011) 11.6.8.
EXAMPLE
(6^2)!={2,0,4,4,1,2,1,0,5,3,2,3,1,3,5,1,3,4,0,3,1,3,1,1,3,3,0,0,5,3,0,1,3,5,5, 0, 4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0} (base 6). (17 zeros). 17 = {2,5} (base 6) ==> a(2)=25
MATHEMATICA
Z6[n_]:=Floor[Sum[Floor[n/3^i], {i, 1, Log[3, n]}]]; Table[IntegerDigits[Z6[6^n], 6], {n, 1, 40}]//TableForm
CROSSREFS
Sequence in context:
A131585
A042919
A229975
*
A249893
A085830
A270346
Adjacent sequences:
A174967
A174968
A174969
*
A174971
A174972
A174973
KEYWORD
nonn
,
base
AUTHOR
José María Grau Ribas
, Apr 02 2010
STATUS
approved
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Last modified August 26 01:13 EDT 2024. Contains 375454 sequences. (Running on oeis4.)