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Search: id:A111959
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| A111959 |
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Renewal array for aerated central binomial coefficients. |
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+0
2
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| 1, 0, 1, 2, 0, 1, 0, 4, 0, 1, 6, 0, 6, 0, 1, 0, 16, 0, 8, 0, 1, 20, 0, 30, 0, 10, 0, 1, 0, 64, 0, 48, 0, 12, 0, 1, 70, 0, 140, 0, 70, 0, 14, 0, 1, 0, 256, 0, 256, 0, 96, 0, 16, 0, 1, 252, 0, 630, 0, 420, 0, 126, 0, 18, 0, 1, 0, 1024, 0, 1280, 0, 640, 0, 160, 0, 20, 0, 1, 924, 0, 2772, 0
(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 A098615. Binomial transform (product with C(n,k)) is A111960. Diagonal sums are A026671 (with interpolated zeros). Inverse is (1/sqrt(1+4x^2),x/sqrt(1+4x^2)), or (-1)^(n-k)*T(n,k).
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FORMULA
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Riordan array (1/sqrt(1-4x^2), x/sqrt(1-4x^2)); Number triangle T(n, k)=(1+(-1)^(n-k))*binomial((n-1)/2, (n-k)/2)*2^(n-k)/2.
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EXAMPLE
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Triangle begins
1;
0,1;
2,0,1;
0,4,0,1;
6,0,6,0,1;
0,16,08,0,1;
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CROSSREFS
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Cf. A054335.
Sequence in context: A053389 A136688 A131321 this_sequence A110109 A067631 A123641
Adjacent sequences: A111956 A111957 A111958 this_sequence A111960 A111961 A111962
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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 23 2005
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