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 A177443 Triangle, row sums = A007729; derived from the generator for A002487, Stern's diatomic series. 1
 1, 2, 0, 3, 1, 0, 3, 2, 0, 0, 3, 3, 2, 0, 0, 3, 3, 4, 0, 0, 0, 3, 3, 6, 1, 0, 0, 0, 3, 3, 6, 2, 0, 0, 0, 0, 3, 3, 6, 3, 3, 0, 0, 0, 0, 3, 3, 6, 3, 6, 0, 0, 0, 0, 0, 3, 3, 6, 3, 9, 2, 0, 0, 0, 0, 0, 3, 3, 6, 3, 9, 4, 0, 0, 0, 0, 0, 0, 3, 3, 6, 3, 9, 6, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Rows apparently tend to 3 * nonzero terms of Stern's diagomic series; i.e., 3 * (1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5,...) = (3, 3, 6, 3, 9, 6, 9, 3, 12,...) Row sums = A007729: (1, 2, 4, 5, 8, 10, 13, 14, ...) LINKS FORMULA Triangle read by rows, Q*R*S; where Q = an infinite lower triangular matrix with all 1's, R = the generator for A002487, and S = a diagonalized variant of A002487 (nonzero terms of A002487 as the right diagonal and the rest zeros). R, the generator for A002487 is an irregular lower triangular matrix with (1, 1, 1, 0, 0, 0,...) in each column; but each successive column for k>0 is shifted down twice from the previous column. EXAMPLE First few rows of the triangle = 1; 2, 0; 3, 1, 0; 3, 2, 0, 0; 3, 3, 2, 0, 0; 3, 3, 4, 0, 0, 0; 3, 3, 6, 1, 0, 0, 0; 3, 3, 6, 2, 0, 0, 0, 0; 3, 3, 6, 3, 3, 0, 0, 0, 0; 3, 3, 6, 3, 6, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 2, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 4, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 3, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 6, 0, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 9, 1, 0, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 9, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 9, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0; 3, 3, 6, 3, 9, 6, 9, 3, 12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0; ... CROSSREFS Cf. A002487, A007729. Sequence in context: A190440 A054372 A070679 * A176919 A220645 A127374 Adjacent sequences:  A177440 A177441 A177442 * A177444 A177445 A177446 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, May 08 2010 STATUS approved

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Last modified August 20 22:45 EDT 2019. Contains 326155 sequences. (Running on oeis4.)