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A120101
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Triangle LCM(1,...,(2n+2))/((k+1)*binomial(2k+2,k+1)).
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6
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1, 6, 1, 30, 5, 1, 420, 70, 14, 3, 1260, 210, 42, 9, 2, 13860, 2310, 462, 99, 22, 5, 180180, 30030, 6006, 1287, 286, 65, 15, 360360, 60060, 12012, 2574, 572, 130, 30, 7, 6126120, 1021020, 204204, 43758, 9724, 2210, 510, 119, 28, 116396280, 19399380, 3879876
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| First column is A119634. Second column is A051538. Main diagonal is A068553. Sub-diagonal is A119636. Inverse is A120113. Row sums are A120106. Diagonal sums are A120107. The rows give the coefficients of polynomials arising in the integration of x^(2m)/sqrt(4-x^2), m>=0.
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FORMULA
| Number triangle T(n,k)=[k<=n]*LCM(1,...,(2n+2))/((k+1)*binomial(2k+2,k+1))
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EXAMPLE
| Triangle begins
1,
6, 1,
30, 5, 1,
420, 70, 14, 3,
1260, 210, 42, 9, 2,
13860, 2310, 462, 99, 22, 5,
180180, 30030, 6006, 1287, 286, 65, 15,
360360, 60060, 12012, 2574, 572, 130, 30, 7
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CROSSREFS
| Sequence in context: A118933 A046212 A120105 * A178726 A030524 A051930
Adjacent sequences: A120098 A120099 A120100 * A120102 A120103 A120104
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jun 09 2006
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