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Search: id:A124392
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| A124392 |
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A Fine number related number triangle. |
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+0
1
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| 1, 2, 1, 7, 2, 1, 24, 8, 2, 1, 86, 28, 9, 2, 1, 314, 103, 32, 10, 2, 1, 1163, 382, 121, 36, 11, 2, 1, 4352, 1432, 456, 140, 40, 12, 2, 1, 16414, 5408, 1732, 536, 160, 44, 13, 2, 1, 62292, 20546, 6608, 2064, 622, 181, 48, 14, 2, 1, 237590
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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First column is A014300. Second column is 114590. Row sums are A001700. Array is given by (f(x)/(x*sqrt(1-4x)), f(x)) where f(x) is g.f. of Fine numbers A000957.
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FORMULA
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Riordan array ((1/(x*sqrt(1-4x)))*(1-sqrt(1-4x))/(3-sqrt(1-4x)),(1-sqrt(1-4x))/(3-sqrt(1-4x))); Number triangle T(n,k)=sum{j=0..n-k, C(n-j,k)*C(2j,n-k)};
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EXAMPLE
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Triangle begins
1,
2, 1,
7, 2, 1,
24, 8, 2, 1,
86, 28, 9, 2, 1,
314, 103, 32, 10, 2, 1,
1163, 382, 121, 36, 11, 2, 1,
4352, 1432, 456, 140, 40, 12, 2, 1,
16414, 5408, 1732, 536, 160, 44, 13, 2, 1
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CROSSREFS
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Sequence in context: A092666 A019426 A128747 this_sequence A121416 A089329 A097411
Adjacent sequences: A124389 A124390 A124391 this_sequence A124393 A124394 A124395
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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), Oct 30 2006
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