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Search: id:A116908
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| A116908 |
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Triangle, read by rows, where row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {1,2}. |
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+0
1
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| 1, 1, 2, 1, 2, 3, 1, 3, 3, 5, 1, 4, 5, 6, 8, 1, 5, 8, 9, 11, 14, 1, 6, 13, 14, 17, 20, 24, 1, 7, 19, 24, 37, 31, 37, 44, 1, 8, 26, 43, 44, 51, 58, 68, 81, 1, 9, 34, 69, 81, 87, 95, 109, 126, 149, 1, 10, 43, 103, 149, 150, 168, 182, 204, 235, 274
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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See also: A103284 Triangle, read by rows, where row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {1,1}. Main diagonal is: 1, 2, 3, 5, 8, 14, 24, 44, 81, 149, 274,... This is lexicographically second of an infinite sequence of triangles such as Paul D. Hanna's A103284.
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EXAMPLE
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Convolution of row 5 {1,4,5,6,8} with {1,2} = {1,5,9,11,14,8}; sort to obtain row 6: {1,5,8,9,11,14}.
Rows begin:
1,
1,2,
1,2,3,
1,3,3,5,
1,4,5,6,8,
1,5,8,9,11,14,
1,6,13,14,17,20,24,
1,7,19,24,37,31,37,44,
1,8,26,43,44,51,58,68,81,
1,9,34,69,81,87,95,109,126,149,
1,10,43,103,149,150,168,182,204,235,274,...
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CROSSREFS
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Cf. A103284.
Sequence in context: A048793 A075106 A036995 this_sequence A072851 A103627 A080786
Adjacent sequences: A116905 A116906 A116907 this_sequence A116909 A116910 A116911
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 16 2006
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