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 A213945 Triangle by rows, generated from aerated sequences of 1's. 0
 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 2, 11, 1, 1, 1, 1, 4, 24, 1, 1, 1, 1, 2, 7, 51, 1, 1, 1, 1, 1, 4, 12, 107, 1, 1, 1, 1, 1, 2, 6, 21, 222, 1, 1, 1, 1, 1, 1, 4, 9, 36, 457, 1, 1, 1, 1, 1, 1, 2, 6, 14, 61, 935, 1, 1, 1, 1, 1, 1, 1, 4, 8, 22, 103, 1904, 1, 1, 1, 1, 1, 1, 1, 2, 6, 11, 34, 173, 3863 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Row sums are powers of 2. The right border is a variant of A027934 in which the 0 of the latter is replaced by a 1. LINKS FORMULA Form an array in which rows are INVERT transforms of sequences of 1's starting (1,1,1,...) with row 0; then the INVERT transforms of 1's aerated with one zero (row 1); with two zeros, (row 2); three zeros, (row 3); and so on. EXAMPLE First few rows of the array are: 1, 2, 4, 8, 16, 32, 64, 128, 256,... 1, 1, 2, 3,..5,..8,.13,..21,..34,... 1, 1, 1, 2,..3,..4,..6,...9,..13,... 1, 1, 1, 1,  2,..3,..4,...5,...7,... ... Then, take finite differences from the top -> down, getting the triangle: 1; 1, 1; 1, 1, 2; 1, 1, 1, 5; 1, 1, 1, 2, 11; 1, 1, 1, 1, 4, 24; 1, 1, 1, 1, 2, 7, 51; 1, 1, 1, 1, 1, 4, 12, 107; 1, 1, 1, 1, 1, 2, 6, 21, 222; 1, 1, 1, 1, 1, 1, 4, 9, 36, 457; ... CROSSREFS Cf. A027934. Sequence in context: A127080 A216645 A216635 * A290771 A014651 A275422 Adjacent sequences:  A213942 A213943 A213944 * A213946 A213947 A213948 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jun 25 2012 STATUS approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)