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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 (list; graph; refs; listen; history; text; internal format)
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 January 24 00:05 EST 2022. Contains 350515 sequences. (Running on oeis4.)