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Search: id:A164585
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| A164585 |
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Generalized rhombic triangle. |
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+0
2
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| 1, 0, 1, 1, 1, 1, 3, 2, 2, 1, 3, 8, 4, 3, 1, 11, 13, 15, 7, 4, 1, 24, 35, 33, 25, 11, 5, 1, 51, 91, 84, 66, 39, 16, 6, 1, 137, 205, 232, 174, 116, 58, 22, 7, 1, 320, 539, 569, 496, 325, 188, 83, 29, 8, 1, 795, 1349, 1498, 1308, 955, 562, 288, 115, 37, 9, 1
(list; table; graph; listen)
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OFFSET
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0,7
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COMMENT
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Row sums are A164586.
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FORMULA
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T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-3,k)+T(n-2,k+1)+T(n-1,k+1);
Riordan array ((1/(1-x^3))*c((x(1+x)/(1-x^3))^2), (x(1+x)/(1-x^3))*c((x(1+x)/(1-x^3))^2)), c(x) the g.f. of A000108.
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EXAMPLE
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Triangle begins
1,
0, 1,
1, 1, 1,
3, 2, 2, 1,
3, 8, 4, 3, 1,
11, 13, 15, 7, 4, 1,
24, 35, 33, 25, 11, 5, 1,
51, 91, 84, 66, 39, 16, 6, 1,
137, 205, 232, 174, 116, 58, 22, 7, 1,
320, 539, 569, 496, 325, 188, 83, 29, 8, 1
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CROSSREFS
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Sequence in context: A074976 A068448 A054081 this_sequence A154364 A050604 A131015
Adjacent sequences: A164582 A164583 A164584 this_sequence A164586 A164587 A164588
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 17 2009
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