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Search: id:A096137
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| A096137 |
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Table read by rows: row n contains the sum of each nonempty subset of {1, 2, ..., n}. In each row, the sums are arranged in ascending order. |
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1
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| 1, 1, 2, 3, 1, 2, 3, 3, 4, 5, 6, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 10, 1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 15, 1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The n-th row has 2^n-1 members. A001788 gives the row sums. The sums of the k-element subsets of {1, 2, ..., n} add up to A094305(n-1, k-1).
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EXAMPLE
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The nonempty subsets of {1, 2, 3} are {1}, {2}, {3}, {1, 2},
{1, 3}, {2, 3}, and {1, 2, 3}, which have sums 1, 2, 3, 3, 4, 5, and 6
respectively, so these are the terms of row 3.
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CROSSREFS
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Cf. A001788, A094305.
Adjacent sequences: A096134 A096135 A096136 this_sequence A096138 A096139 A096140
Sequence in context: A130830 A131989 A065365 this_sequence A063274 A002828 A098066
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 06 2004
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EXTENSIONS
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Edited and extended by David Wasserman (dwasserm(AT)earthlink.net), Oct 04 2007
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