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A134402
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Triangle read by rows, for n>0, n zeros followed by n.
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3
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1, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,6
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COMMENTS
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Multiplied by the vector [1, 2, 3,...] from the right gives (1, 2, 6, 12, 20, 30, 42,..., A002378.
Triangle T(n,k), read by rows, given by [0,0,0,0,0,0,0,...] DELTA [1,1,-1,1,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM, Oct 26 2007
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LINKS
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Table of n, a(n) for n=0..103.
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FORMULA
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Triangle read by rows, a(0) = 1, then for n>0, n zeros followed by n. Infinite lower triangular matrix with (1, 1, 2, 3, 4,...) in the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
0, 1;
0, 0, 2;
0, 0, 0, 3;
0, 0, 0, 0, 4;
0, 0, 0, 0, 0, 5;
...
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MATHEMATICA
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Join[{1}, Flatten[Table[PadLeft[{n}, n+1, 0], {n, 15}]]] (* From Harvey P. Dale, May 08 2012 *)
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CROSSREFS
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Cf. A134403, A005449.
Sequence in context: A083927 A154724 A218272 * A132440 A174712 A127647
Adjacent sequences: A134399 A134400 A134401 * A134403 A134404 A134405
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Gary W. Adamson, Oct 23 2007
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STATUS
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approved
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