# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a347519 Showing 1-1 of 1 %I A347519 #37 Sep 11 2021 15:20:17 %S A347519 0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0, %T A347519 0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1, %U A347519 0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1 %N A347519 Square array read by antidiagonals upwards taken the terms of A347270 and replacing the powers of 2 with zeros and the nonpowers of 2 with ones, n >= 1, k >= 0. %C A347519 The square array A347270 gives all 3x+1 sequences. %C A347519 If n is a power of 2 then row n is A000004. %H A347519 Index entries for sequences related to 3x+1 (or Collatz) problem %e A347519 The corner of the square array T(n,k) begins: %e A347519 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, ... %e A347519 ... %e A347519 For n = 6 the 3x+1 sequence starting at 6 is 6, 3, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, ... The first four terms are nonpowers of 2. The fifth term and beyond are powers of 2. So row 6 is 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, ... %Y A347519 Row sums give A208981. %Y A347519 Column 0 gives A043545. %Y A347519 Cf. A000004, A000079, A006370, A006577, A057716, A347270, A347283, A347523. %K A347519 nonn,tabl %O A347519 1 %A A347519 _Omar E. Pol_, Sep 04 2021 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE