Search: id:A094615 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds