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A104726
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Triangle generated as the matrix product of A026729 and A000012 (triangular views), read by rows.
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1
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1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 5, 5, 5, 4, 1, 8, 8, 8, 8, 5, 1, 13, 13, 13, 13, 12, 6, 1, 21, 21, 21, 21, 21, 17, 7, 1, 34, 34, 34, 34, 34, 33, 23, 8, 1, 55, 55, 55, 55, 55, 55, 50, 30, 9, 1, 89, 89, 89, 89, 89, 89, 88, 73, 38
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| If the triangular factors A026729 and A000012 are commuted in the product, A004070 results.
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FORMULA
| T(n,k) = sum_{j=k..n} binomial(j,n-j). - R. J. Mathar, Oct 30 2011
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EXAMPLE
| First few rows of the triangle are
1;
1, 1;
2, 2, 1;
3, 3, 3, 1;
5, 5, 5, 4, 1;
8, 8, 8, 8, 5, 1;
13, 13, 13, 13, 12, 6, 1;
21, 21, 21, 21, 21, 17, 7, 1;
...
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MAPLE
| A104726 := proc(n, k)
add( binomial(j, n-j), j=k..n) ;
end proc:
seq(seq(A104726(n, k), k=0..n), n=0..10) ; # R. J. Mathar, Oct 30 2011
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CROSSREFS
| Cf. A001629 (row sums), A026729, A004070, A000071.
Sequence in context: A177352 A117915 A097094 * A164999 A162909 A091224
Adjacent sequences: A104723 A104724 A104725 * A104727 A104728 A104729
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 20 2005
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