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A104730
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Triangle read by rows: T(n,k)=C(n+1,k)-C(k,n-k+1).
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1
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1, 1, 1, 1, 3, 1, 1, 4, 5, 1, 1, 5, 10, 7, 1, 1, 6, 15, 19, 9, 1, 1, 7, 21, 35, 31, 11
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Row sums are A027934: 1, 2, 5, 11, 24, 51, 107... Diagonal sums are A131298.
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FORMULA
| Perform the operation A - B; then extract the triangle after deleting all zeros. P = infinite lower triangular Pascal's triangle matrix (A007318); B = A026729, as an infinite lower triangular matrix: [1; 0, 1;, 0, 1, 1; 0, 0, 2, 1; 0, 0, 1, 3, 1;...].
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EXAMPLE
| The first few rows of the triangle are:
1;
1, 1;
1, 3, 1;
1, 4, 5, 1;
1, 5, 10, 7, 1;
1, 6, 15, 19, 9, 1;
1, 7, 31, 35, 31, 11, 1;
...
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CROSSREFS
| Cf. A027934, A026729, A007318.
Sequence in context: A124020 A124234 A135226 * A131238 A133380 A105687
Adjacent sequences: A104727 A104728 A104729 * A104731 A104732 A104733
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 20 2005
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EXTENSIONS
| Better definition from Paul Barry (pbarry(AT)wit.ie), Jun 26 2007
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