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A229975 The base 8 expansion of the number of trailing zeros of the base 8 expansion of (8^n)!. 0
2, 25, 252, 2525, 25252, 252525, 2525252, 25252525, 252525252, 2525252525, 25252525252, 252525252525, 2525252525252, 25252525252525, 252525252525252, 2525252525252525, 25252525252525252, 252525252525252525, 2525252525252525252, 25252525252525252525 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..20.

Antonio M. Oller-Marcén and José María Grau, On the nase-b expansion of the number of trailing zeros of (b^k)!, Journal of Integer Sequences, Vol 14. (11.6.7) 2011

MATHEMATICA

Z[p_, n_] := (n - H[p, n])/(p - 1); H[p_, n_] := {a = IntegerDigits[n, p]; bb = Length[a];    Sum[a[[i]], {i, bb}]}[[1]]; Z[p_, r_, n_] :=  Floor[Z[p, n]/r]; ZZ[b_, n_] := {aa = FactorInteger[b]; Min[Table[Z[aa[[i, 1]], aa[[i, 2]], n], {i, Length[aa]}]]}[[1]]; Table[ FromDigits@IntegerDigits[ZZ[8, 8^n], 8], {n, 15}]

CROSSREFS

Cf. A174970, A173228.

Sequence in context: A068176 A131585 A042919 * A174970 A249893 A085830

Adjacent sequences:  A229972 A229973 A229974 * A229976 A229977 A229978

KEYWORD

nonn,base

AUTHOR

José María Grau Ribas, Oct 05 2013

STATUS

approved

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Last modified May 22 20:08 EDT 2022. Contains 353957 sequences. (Running on oeis4.)