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COMMENT
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These are the 2^n-th terms of A086582, which begins: {1, 1, 1,2, 1,2,3,6, 1,2,3,6,7,10,16,26, 1,2,3,6,7,10,16,26,29,34,46,50,75,102,146,180, ...}. A086583 is the self-convolution of A086582 and generates the next 2^n group of terms of A086582 for all n>=0.
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