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Search: id:A111184
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| A111184 |
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Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, ...] DELTA [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...] where DELTA is the operator defined in A084938. |
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1
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| 1, 0, 1, 0, 2, 1, 0, 6, 6, 1, 0, 24, 34, 12, 1, 0, 120, 210, 110, 20, 1, 0, 720, 1452, 974, 270, 30, 1, 0, 5040, 11256, 8946, 3248, 560, 42, 1, 0, 40320, 97296, 87504, 38338, 8792, 1036, 56, 1
(list; table; graph; listen)
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OFFSET
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0,5
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FORMULA
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Sum_{k, 0<=k<=n} T(n, k) = A003319(n+1).
Sum_{k, 0<=k<=n} T(n, k)*2^(n-k) = A004208(n).
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EXAMPLE
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Rows begin:
1;
0, 1;
0, 2, 1;
0, 6, 6, 1;
0, 24, 34, 12, 1;
0, 120, 210, 110, 20, 1;
0, 720, 1452, 974, 270, 30, 1;
0, 5040, 11256, 8946, 3248, 560, 42, 1;
0, 40320, 97296, 87504, 38338, 8792, 1036, 56, 1.
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CROSSREFS
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Cf. A003319, A004208.
Adjacent sequences: A111181 A111182 A111183 this_sequence A111185 A111186 A111187
Sequence in context: A090238 A047922 A021830 this_sequence A111596 A129062 A117651
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), Oct 16 2005
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