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Search: id:A091598
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| A091598 |
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Triangle read by rows: T(n,0)=A078008(n), T(n,m)=T(n-1,m-1)+T(n-1,m). |
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+0 1
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| 1, 0, 1, 2, 1, 1, 2, 3, 2, 1, 6, 5, 5, 3, 1, 10, 11, 10, 8, 4, 1, 22, 21, 21, 18, 12, 5, 1, 42, 43, 42, 39, 30, 17, 6, 1, 86, 85, 85, 81, 69, 47, 23, 7, 1, 170, 171, 170, 166, 150, 116, 70, 30, 8, 1, 342, 341, 341, 336, 316, 266, 186, 100, 38, 9, 1, 682, 683, 682, 677, 652, 582, 452
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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A Jacobsthal-Pascal triangle.
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FORMULA
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k-th column has e.g.f. ((1-x)/(1-x-x^2))(x/(1-x))^k.
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EXAMPLE
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Rows start {1}, {0,1}, {2,1,1}, {2,3,2,1},...
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CROSSREFS
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Columns include A078008, A001045, A000975, A011377. Row sums give A084219.
Cf. A091597.
Sequence in context: A030496 A005794 A143066 this_sequence A144021 A161091 A027347
Adjacent sequences: A091595 A091596 A091597 this_sequence A091599 A091600 A091601
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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), Jan 23 2004
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