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Search: id:A116389
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| A116389 |
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Riordan array (1/sqrt(1-4x^2), (1+x)/sqrt(1-4x^2)-1). |
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+0
4
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| 1, 0, 1, 2, 2, 1, 0, 4, 4, 1, 6, 10, 10, 6, 1, 0, 16, 28, 20, 8, 1, 20, 44, 62, 62, 34, 10, 1, 0, 64, 152, 168, 120, 52, 12, 1, 70, 186, 328, 436, 374, 210, 74, 14, 1, 0, 256, 748, 1084, 1072, 736, 340, 100, 16, 1, 252, 772, 1606, 2598, 2924, 2332, 1326, 518, 130, 18, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums are A116390. Diagonal sums are A116391. Product of A007318 and A116389 is A116392.
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FORMULA
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T(n,k)=sum{j=0..k, C(k,j)(-1)^(k-j)*sum{i=0..floor(n/2), C(i+(j-1)/2,i)C(j,n-2i)4^i}}
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EXAMPLE
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Triangle begins
1,
0, 1,
2, 2, 1,
0, 4, 4, 1,
6, 10, 10, 6, 1,
0, 16, 28, 20, 8, 1,
20, 44, 62, 62, 34, 10, 1
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CROSSREFS
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Sequence in context: A071464 A071510 A110124 this_sequence A062110 A122896 A107267
Adjacent sequences: A116386 A116387 A116388 this_sequence A116390 A116391 A116392
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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), Feb 12 2006
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