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Search: id:A117317
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| A117317 |
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Triangle related to partitions of n. |
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+0
1
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| 1, 2, 1, 4, 5, 1, 8, 16, 9, 1, 16, 44, 41, 14, 1, 32, 112, 146, 85, 20, 1, 64, 272, 456, 377, 155, 27, 1, 128, 640, 1312, 1408, 833, 259, 35, 1, 256, 1472, 3568, 4712, 3649, 1652, 406, 44, 1, 512, 3328, 9312, 14608, 14002, 8361, 3024, 606, 54, 1, 1024, 7424, 23552
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A007052. Diagonal sums are A052988. Reversal of A056242.
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FORMULA
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Number triangle T(n,k)=sum{j=0..n-k, C(n+j,k)C(n-k,j)}
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EXAMPLE
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Triangle begins
1,
2, 1,
4, 5, 1,
8, 16, 9, 1,
16, 44, 41, 14, 1,
32, 112, 146, 85, 20, 1,
64, 272, 456, 377, 155, 27, 1
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CROSSREFS
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Sequence in context: A080935 A102661 A121574 this_sequence A124237 A123876 A114164
Adjacent sequences: A117314 A117315 A117316 this_sequence A117318 A117319 A117320
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 07 2006
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