Search: id:A104244
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%I A104244
%S A104244 0,1,0,1,1,0,2,2,1,0,1,2,3,1,0,2,4,2,4,1,0,1,3,9,2,5,1,0,3,8,4,16,2,6,
               1,
%T A104244 0,2,3,27,5,25,2,7,1,0,2,4,3,64,6,36,2,8,1,0,1,5,6,3,125,7,49,2,9,1,0,
               3,
%U A104244 16,10,8,3,216,8,64,2,10,1,0,1,4,81,17,10,3,343,9,81,2,11,1,0,2,32,5
%N A104244 Suppose n=(p1^e1)(p2^e2)... where p1,p2,... are the prime numbers and 
               e1,e2,... are nonnegative integers. Then we can define Pn(x) = e1 
               + (e2)*x + (e3)*(x^2) + (e4)*(x^3) + ... + (ek)*(x^(k-1)) + ... The 
               sequence is the table T(n,x)=Pn(x) read by antidiagonals. A090883 
               is the main diagonal of this table.
%e A104244 a(13)=3 because: 3=(p1^0)(p2^1)(p3^0)..., so P3(x)=x. Hence a(13)=T(3,
               3)=P3(3)=3
%Y A104244 Cf. A104245.
%Y A104244 Sequence in context: A117444 A015504 A055892 this_sequence A116403 A123149 
               A061926
%Y A104244 Adjacent sequences: A104241 A104242 A104243 this_sequence A104245 A104246 
               A104247
%K A104244 easy,nonn,tabl
%O A104244 0,7
%A A104244 Olaf Voss (richyfourtythree(AT)yahoo.com), Feb 26 2005

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