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Search: id:A094615
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%I A094615
%S A094615 1,3,5,7,11,17,15,23,35,53,31,47,71,107,161,63,95,143,215,323,485,127,
%T A094615 191,287,431,647,971,1457,255,383,575,863,1295,1943,2915,4373,511,767,
%U A094615 1151,1727,2591,3887,5831,8747,13121,1023,1535,2303,3455,5183,7775
%N A094615 Triangular array T of numbers generated by these rules: 1 is in T; and 
               if x is in T, then 2x+1 and 3x+2 are in T.
%C A094615 T(n,0)=-1+2^(n+1)=A000225(n+1); T(n,n)=-1+2*3^n=A048473(n); T(2n,n)=-1+2*6^n; 
               row sums = A094616.
%F A094615 To obtain row n from row n-1, apply 2x+1 to each x in row n-1 and then 
               put -1+2*3^n at the end. Or, instead, apply 3x+2 to each x in row 
               n-1 and then put -1+2^(n+1) at the beginning.
%e A094615 Rows 0 to 3:
%e A094615 1 = T(0,0)
%e A094615 3 5 = T(1,0) T(1,1), etc.
%e A094615 7 11 17
%e A094615 15 23 35 53
%Y A094615 Cf. A094616, A094617.
%Y A094615 Sequence in context: A116582 A052003 A019449 this_sequence A155542 A082373 
               A116959
%Y A094615 Adjacent sequences: A094612 A094613 A094614 this_sequence A094616 A094617 
               A094618
%K A094615 nonn,tabl
%O A094615 1,2
%A A094615 Clark Kimberling (ck6(AT)evansville.edu), May 14 2004

    
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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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