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6-Factorions: equal to the sum of the 6-ple factorials of their digits in base 10.
2

%I #5 Apr 16 2024 22:05:43

%S 1,2,3,4,5,6,7,29

%N 6-Factorions: equal to the sum of the 6-ple factorials of their digits in base 10.

%e 29 -> 2!!!!!! + 9!!!!!! = 2 + 9*3 = 2 + 27 = 29.

%p P:=proc(n,m) local a,b,i,j,k,x,w; for i from 1 by 1 to n do a:=0; b:=0; w:=0; k:=i; while k>0 do w:=k-(trunc(k/10)*10); j:=w; x:=w-m; if w=0 then b:=1; else while x>0 do j:=j*x; x:=x-m; od; b:=j; fi; a:=a+b; k:=trunc(k/10); od; if a=i then lprint(i,a); fi; od; end: P(1000,6);

%Y Cf. A014080, A097653, A173573-A173575, A173577.

%K easy,fini,nonn,base

%O 1,2

%A _Paolo P. Lava_, Feb 22 2010