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A122076
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Coefficients of a generalized Jaco-Lucas polynomial (even indices) read by rows.
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0
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2, 3, 2, 7, 8, 2, 18, 30, 15, 2, 47, 104, 80, 24, 2, 123, 340, 355, 170, 35, 2, 322, 1068, 1410, 932, 315, 48, 2, 843, 3262, 5208, 4396, 2079, 532, 63, 2, 2207, 9760, 18280, 18784, 11440, 4144, 840, 80, 2, 5778, 28746, 61785, 74838, 55809, 26226, 7602, 1260
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Y. Sun, Numerical Triangles and Several Classical Sequences, Fib. Quart. 43, no. 4, (2005) 359-370, Table 3.3.
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FORMULA
| T(n,k)=sum_(j=0..n) 2n*binomial(2n-j,j)*binomial(j,k)/(2n-j).
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EXAMPLE
| 2
3 2
7 8 2
18 30 15 2
47 104 80 24 2
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PROG
| (PARI) T(n, k)={ if(n>=1, sum(j=0, n/2, n*binomial(n-j, j)*binomial(j, k)/(n-j)), 2 ) ; } { nmax=10 ; for(n=0, nmax, for(k=0, n, print1(T(2*n, k), ", ") ; ); ); }
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CROSSREFS
| Cf. A200073.
Sequence in context: A158747 A122697 A129022 * A170842 A014784 A048601
Adjacent sequences: A122073 A122074 A122075 * A122077 A122078 A122079
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 16 2006
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