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A091595
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Triangle read by rows: T(n,m) := sum{k=0..floor((n-m)/2), binomial(n-2k,m)binomial(n-m-k,k)2^k}.
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1
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1, 1, 1, 3, 2, 1, 5, 5, 3, 1, 11, 12, 8, 4, 1, 21, 27, 22, 12, 5, 1, 43, 62, 55, 36, 17, 6, 1, 85, 137, 137, 99, 55, 23, 7, 1, 171, 304, 330, 264, 164, 80, 30, 8, 1, 341, 663, 784, 682, 466, 256, 112, 38, 9, 1, 683, 1442, 1833, 1720, 1278, 772, 382, 152, 47, 10, 1, 1365, 3109
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| A Jacobsthal related number number triangle.
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FORMULA
| k-th column has e.g.f. 1/(1-x-2x^2)(x(1-2x^2)/(1-x-2x^2))^k.
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EXAMPLE
| Rows begin {1}, {1,1}, {3,2,1}, {5,5,3,1}...
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CROSSREFS
| Columns include A001045, A091596. Row sums are A077937.
Sequence in context: A021315 A068389 A091597 * A132969 A132970 A192022
Adjacent sequences: A091592 A091593 A091594 * A091596 A091597 A091598
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 23 2004
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