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 A166555 Triangle read by rows, Sierpinski's gasket, A047999 * (1,2,4,8,...) diagonalized. 1
 1, 1, 2, 1, 0, 4, 1, 2, 4, 8, 1, 0, 0, 0, 16, 1, 2, 0, 0, 16, 32, 1, 0, 4, 0, 16, 0, 64, 1, 2, 4, 8, 16, 32, 64, 128, 1, 0, 0, 0, 0, 0, 0, 0, 256, 1, 2, 0, 0, 0, 0, 0, 0, 256, 512, 1, 0, 4, 0, 0, 0, 0, 0, 256, 0, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row sums = A001317: (1, 3, 5, 15, 17, 51, 85,...). Number of positive terms in n-th row (n>=0) equals to A000120(n). [From Vladimir Shevelev, Oct 25 2010] LINKS FORMULA Triangle read by rows, A047999 * Q. A047999 = Sierpinski's gasket, Q = an infinite lower triangular matrix with (1,2,4,8,...) as the main diagonal and the rest zeros. EXAMPLE First few rows of the triangle = 1; 1, 2; 1, 0, 4; 1, 2, 4, 8; 1, 0, 0, 0, 16; 1, 2, 0, 0, 16,.32; 1, 0, 4, 0, 16,..0,..64; 1, 2, 4, 8, 16,.32,..64,..128; 1, 0, 0, 0,..0,..0,...0,....0,..256; 1, 2, 0, 0,..0,..0,...0,....0,..256,...512; 1, 0, 4, 0,..0,..0,...0,....0,..256,.....0,...1024; 1, 2, 4, 8,..0,..0,...0,....0,..256,...512,...l024,...2048; 1, 0, 0, 0, 16,..0,...0,....0,..256,.....0,......0,......0,..4096; ... CROSSREFS Cf. A147999, A001317. Sequence in context: A140882 A143724 A143425 * A136329 A122073 A106236 Adjacent sequences:  A166552 A166553 A166554 * A166556 A166557 A166558 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Oct 17 2009 STATUS approved

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