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A136758 a(n) = leading digit of n! in base 7. 14

%I #15 Jan 15 2021 16:33:18

%S 1,1,2,6,3,2,2,2,2,3,4,6,1,3,6,1,4,1,3,1,4,1,5,2,1,4,2,1,5,3,2,1,5,3,

%T 2,1,1,1,5,4,3,3,2,2,2,2,1,1,1,1,1,1,1,2,2,2,3,3,4,5,6,1,1,1,2,3,4,5,

%U 1,1,2,3,4,1,1,2,3,5,1,2,3,5,1,2,3,6,1,3,5,1,2,4,1,2,4,1,2,5,1,2

%N a(n) = leading digit of n! in base 7.

%H David A. Corneth, <a href="/A136758/b136758.txt">Table of n, a(n) for n = 0..9999</a>

%e a(10) = 4 as 10! = 42562410_7 which has leading digit 4. - _David A. Corneth_, Jan 15 2021

%t f[n_]:=First[IntegerDigits[n!,7]]; lst={};Do[AppendTo[lst,f[n]],{n,0,2*5!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jun 14 2009 *)

%t First[IntegerDigits[#,7]]&/@(Range[0,100]!) (* _Harvey P. Dale_, Nov 23 2013 *)

%o (PARI) a(n) = digits(n!, 7)[1]; \\ _Michel Marcus_, Jan 27 2015

%Y Cf. A000142, A136694, A136754, A136755, A136756, A136757, A136759, A136760, A008905, A136761, A136762, A136763, A136764, A136765, A136766.

%K base,easy,nonn

%O 0,3

%A _Carl R. White_, Jan 21 2008

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Last modified May 4 00:44 EDT 2024. Contains 372225 sequences. (Running on oeis4.)