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Search: id:A152815
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| A152815 |
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Triangle T(n,k), read by rows given by [1,0,-1,0,0,0,0,0,0,...] DELTA [0,1,-1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . |
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+0
13
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| 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 1, 4, 6, 4, 1, 0, 0, 0, 0, 1, 4, 6, 4, 1, 0, 0, 0, 0, 0, 1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0, 1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0, 0, 1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0, 1, 6, 15, 20, 15, 6, 1, 0, 0, 0
(list; table; graph; listen)
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OFFSET
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0,12
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COMMENT
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Triangle read by rows, Pascal's triangle (A007318) rows repeated .
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FORMULA
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T(n,k)=T(n-1,k)+((1+(-1)^n)/2)*T(n-1,k-1) .
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EXAMPLE
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Triangle begins : 1 ; 1, 0 ; 1, 1, 0 ; 1, 1, 0, 0 ; 1, 2, 1, 0, 0 ; 1, 2, 1, 0, 0, 0 ; 1, 3, 3, 1, 0, 0, 0 ; 1, 3, 3, 1, 0, 0, 0, 0 ; 1, 4, 6, 4, 1, 0, 0, 0, 0 ; ...
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CROSSREFS
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Cf. A007318, A064861, A152198(another version), A000931 (diagonal sums),A016116 (row sums)
Sequence in context: A035468 A051777 A107628 this_sequence A115296 A059048 A164116
Adjacent sequences: A152812 A152813 A152814 this_sequence A152816 A152817 A152818
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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), Dec 13 2008
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EXTENSIONS
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Corrected example. Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 13 2008
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