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Search: id:A157491
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| 1, 0, 1, 0, -1, 2, 0, 2, -6, 5, 0, -5, 20, -28, 14, 0, 14, -70, 135, -120, 42, 0, -42, 252, -616, 770, -495, 132, 0, 132, -924, 2730, -4368, 4004, -2002, 429, 0, -429, 3432, -11880, 23100, -27300, 19656, -8008, 1430
(list; table; graph; listen)
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OFFSET
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0,6
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COMMENT
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Triangle, read by rows, given by [0,-1,-1,-1,-1,-1,-1,...] DELTA [1,1,1,1,1,1,1,1,...] where DELTA is the operator defined in A084938. Triangle related to k-regular trees.
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FORMULA
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Sum_{k, 0<=k<=n}T(n,k)*x^k = A000007(n), A000012(n), A000984(n), A089022(n), A035610(n), A130976(n), A130977(n), A130978(n), A130979(n), A130980(n), A131521(n) for x = 0,1,2,3,4,5,6,7,8,9,10 respectively .
Sum_{k, 0<=k<=n}T(n,k)*x^(n-k) = A064093, A064092, A064091, A064090, A064089, A064088, A064087, A064063, A064062, A000108, A000012, A064310, A064311, A064325, A064326, A064327, A064328, A064329, A064330, A064331, A064332, A064333 for x = -9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12 respectively . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 03 2009]
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EXAMPLE
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Triangle begins : 1 ; 0,1 ; 0,-1,2 ; 0,2,-6,5 ; 0,-5,20,-28,14 ; ...
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CROSSREFS
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Cf. A000108, A062991, A094385,
Sequence in context: A033727 A033757 A136426 this_sequence A094385 A156815 A161803
Adjacent sequences: A157488 A157489 A157490 this_sequence A157492 A157493 A157494
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KEYWORD
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sign,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 01 2009
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