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 A173558 a(n) is the smallest number whose factorial has 10^n trailing zeros. 3
 5, 45, 405, 4005, 40010, 400005, 4000005, 40000010, 400000015, 4000000015, 40000000015, 400000000015, 4000000000010, 40000000000015, 400000000000020, 4000000000000025, 40000000000000025, 400000000000000025 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..17. A. M. Oller-Marcen, J. Maria Grau, On the Base-b Expansion of the Number of Trailing Zeros of b^k!, J. Int. Seq. 14 (2011) 11.6.8 EXAMPLE 4!=24 has no zeros, and 5!=120 has 1 (10^0) zero ==> a(0)= 5. 44!=2658271574788448768043625811014615890319638528000000000 (9 zeros) and 45!=119622220865480194561963161495657715064383733760000000000 (10^1= 10 zeros) ==> a(1)=45. MATHEMATICA Z10[n_] := Floor[Sum[Floor[n/5^i], {i, 1, Floor[Log[5, n]]}]]; a[n_] := Module[{m = 4*10^n}, While[Z10[m] < 10^n, m++ ]; m]; Table[a[n], {n, 0, 60}] CROSSREFS If A173292(n)> -1 then a(n)=A173292(n) Sequence in context: A088505 A067403 A173292 * A022022 A058410 A005979 Adjacent sequences: A173555 A173556 A173557 * A173559 A173560 A173561 KEYWORD base,nonn AUTHOR José María Grau Ribas, Feb 21 2010 STATUS approved

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Last modified March 3 04:18 EST 2024. Contains 370499 sequences. (Running on oeis4.)