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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A374922 a(n) is the least k such that 3^k begins with n!.

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%I A374922 #41 Oct 30 2024 21:06:41
%S A374922 0,0,3,8,5,805,1689,12317,197209,520852,4493819,16769097,2053077332,
%T A374922 1110380591,39230711849,516641987008,62653098988435,398166000236882,
%U A374922 7896283077809532,99956735615338266,5161719458617927763,63295038588725505792,659220983938327840981
%N A374922 a(n) is the least k such that 3^k begins with n!.
%H A374922 Zhao Hui Du, <a href="/A374922/b374922.txt">Table of n, a(n) for n = 0..100</a>
%F A374922 a(n) = A018858(n!).
%e A374922 a(4) = 5 because 3^5 = 243 is the smallest power of 3 beginning with 4! = 24.
%t A374922 a[n_] := Module[{target = IntegerDigits[n!], k = 0},
%t A374922    While[UnsameQ[Take[IntegerDigits[3^k], Length@target], target],
%t A374922     k++]; k];
%t A374922 Table[a[n], {n, 0, 8}]
%Y A374922 Cf. A018858, A000142, A374923.
%K A374922 nonn,base
%O A374922 0,3
%A A374922 _Zhining Yang_, Jul 23 2024
%E A374922 a(13) onwards from _Zhao Hui Du_, Oct 03 2024