New A118943-8: n-th digit of k^n

zak seidov zakseidov at yahoo.com
Sat May 6 20:36:38 CEST 2006


Just submitted new (base) SEQs A118943-8.
Any general formulas, cycles or patterns?
Thanks,
Zak
 
%I A118943 %S A118943
1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,2,7,3,0,8,8,8,9,1,4,8,3,9,6,4,4,4,5,7,0,4,9,5,2,2,3,3,3,4,7,4,4,0,1,0,7,3,9,6,6,8,5,6,4,9,2,4,6,5,5,0,3,9,2,9,7,4,9,2,4,7,5,1,1,1,8,9,4,4,9,1,3,7,7,4
%N A118943 n-th (starting from the left) decimal digit
of 11^n 
%t A118943 Table[IntegerDigits[11^n][[n]],{n,99}] 
%Y A118943 A118944-A118948 
%O A118943 1 
%K A118943 ,base,nonn, 
%A A118943 Zak Seidov (zakseidov at yahoo.com), May 06
2006 

%I A118944 %S A118944
1,2,3,4,6,7,9,1,3,5,8,1,4,7,1,5,0,5,1,7,4,1,9,8,8,9,1,4,8,4,1,1,2,5,1,9,0,4,1,2,7,7,2,2,8,1,1,0,7,3,1,0,2,8,0,9,7,6,8,4,9,4,2,7,3,4,3,6,9,7,7,5,1,2,8,0,9,8,1,4,2,5,4,0,9,8,7,9,0,0,3,7,6,7,6,3,5,9,8
%N A118944 n-th (starting from the right) decimal
digit of 11^n 
%t A118944 Table[IntegerDigits[11^n][[-n]],{n,99}] 
%Y A118944 A118943-A118948 
%O A118944 1 
%K A118944 ,base,nonn, 
%A A118944 Zak Seidov (zakseidov at yahoo.com), May 06
2006 

%I A118945 %S A118945
1,4,2,3,3,8,0,9,5,2,8,5,0,8,3,4,9,9,8,1,1,3,1,5,4,1,4,0,5,1,7,5,0,8,6,1,4,1,8,7,9,9,5,0,2,3,3,3,7,5,9,8,1,2,7,7,7,5,5,6,0,1,9,1,2,4,3,1,2,8,6,8,3,8,8,4,0,0,1,3,6,4,8,3,6,3,4,8,6,9,5,1,2,2,2,3,6,8,6
%N A118945 n-th (starting from the left) decimal digit
of 12^n 
%t A118945 Table[IntegerDigits[12^n][[n]],{n,99}] 
%Y A118945 A118943-A118948 
%O A118945 1 
%K A118945 ,base,nonn, 
%A A118945 Zak Seidov (zakseidov at yahoo.com), May 06
2006 

%I A118946 %S A118946
2,4,7,0,4,9,5,2,1,1,4,9,6,8,4,4,1,6,9,3,0,2,2,4,3,4,3,8,8,3,8,8,1,2,6,8,5,6,8,7,7,4,7,7,2,7,4,7,6,4,5,6,5,6,8,7,5,2,2,5,0,4,5,2,6,7,3,9,7,9,7,0,1,1,3,8,2,6,3,4,1,9,7,7,6,6,1,9,3,2,2,9,7,1,5,8,5,3,7
%N A118946 n-th (starting from the right) decimal
digit of 12^n 
%t A118946 Table[IntegerDigits[12^n][[-n]],{n,99}] 
%Y A118946 A118943-A118948 
%O A118946 1 
%K A118946 ,base,nonn, 
%A A118946 Zak Seidov (zakseidov at yahoo.com), May 06
2006

%I A118947 %S A118947
1,6,9,6,9,0,1,2,3,8,0,4,2,2,7,8,9,3,0,8,4,7,5,5,9,6,0,0,7,3,2,8,0,1,6,4,3,3,1,3,1,6,7,5,5,5,9,6,7,5,4,9,3,9,4,0,6,9,8,0,8,8,6,8,9,3,4,4,1,8,4,5,7,1,4,2,8,8,8,6,1,0,8,4,5,8,2,0,8,1,2,3,9,8,4,3,3,8,9
%N A118947 n-th (starting from the left) decimal digit
of 13^n 
%t A118947 Table[IntegerDigits[13^n][[n]],{n,99}] 
%Y A118947 A118943-A118948 
%O A118947 1 
%K A118947 ,base,nonn, 
%A A118947 Zak Seidov (zakseidov at yahoo.com), May 06
2006 

%I A118948 %S A118948
3,6,1,8,7,8,2,1,6,7,9,2,2,3,1,5,5,4,1,0,0,1,5,8,6,3,5,2,3,9,9,7,1,9,8,2,0,1,7,8,5,8,1,0,8,8,5,6,4,2,9,3,5,6,3,2,0,6,1,1,3,4,6,6,9,5,7,4,4,4,9,6,7,8,5,2,7,4,9,0,5,6,9,5,7,5,8,1,3,9,6,3,8,1,2,9,3,7,9
%N A118948 n-th (starting from the right) decimal
digit of 13^n 
%t A118948 Table[IntegerDigits[13^n][[-n]],{n,99}] 
%Y A118948 A118943-A118947 
%O A118948 1 
%K A118948 ,base,nonn, 
%A A118948 Zak Seidov (zakseidov at yahoo.com), May 06
2006



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