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Search: id:A113408
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| A113408 |
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Riordan array (1/(1-x^2-x^4*c(x^4)),x*c(x^2)), c(x) the g.f. of A000108. |
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+0
2
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| 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 3, 0, 1, 0, 6, 0, 4, 0, 1, 3, 0, 12, 0, 5, 0, 1, 0, 12, 0, 20, 0, 6, 0, 1, 6, 0, 30, 0, 30, 0, 7, 0, 1, 0, 30, 0, 60, 0, 42, 0, 8, 0, 1, 10, 0, 90, 0, 105, 0, 56, 0, 9, 0, 1, 0, 60, 0, 210, 0, 168, 0, 72, 0, 10, 0, 1, 20, 0, 210, 0, 420, 0, 252, 0, 90, 0, 11, 0, 1
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Row sums are A113409. Diagonal sums are A005773(n+1) with interpolated zeros.
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FORMULA
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T(n, k)=C((n+k)/2, k)*C(floor((n-k)/2), floor((n-k)/4))(1+(-1)^(n-k))/2.
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EXAMPLE
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Triangle begins
1;
0,1;
1,0,1;
0,2,0,1;
2,0,3,0,1;
0,6,0,4,0,1;
3,0,12,0,5,0,1;
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CROSSREFS
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Sequence in context: A029299 A049803 A053121 this_sequence A022337 A025687 A025666
Adjacent sequences: A113405 A113406 A113407 this_sequence A113409 A113410 A113411
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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 28 2005
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