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Search: id:A122882
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| A122882 |
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Array of T(n,m)=1*5*...*(4n-3)*3*7*...*(4m-1)*2^(n+m)/(n+m)! by antidiagonals. |
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1
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| 1, 2, 6, 10, 6, 42, 60, 20, 28, 308, 390, 90, 70, 154, 2310, 2652, 468, 252, 308, 924, 17556, 18564, 2652, 1092, 924, 1540, 5852, 134596, 132600, 15912, 5304, 3432, 3960, 8360, 38456, 1038312, 961350, 99450, 27846, 14586, 12870, 18810, 48070
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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T(n,m)=2*A(m,n) in Problem A10527 Solution.
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REFERENCES
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V. Pasol, Problem 10527, Amer. Math. Monthly, 103 (1996), p. 427; 104 (1997), 980-981.
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FORMULA
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T(n,m) = T(n,m-1)*(8*m-2)/(n+m) = T(n-1,m)*(8*n-6)/(n+m). T(0,0) = 1.
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PROGRAM
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(PARI) {T(n, m)=if(n<0|m<0, 0, 2^(n+m)/(n+m)!*prod(k=1, m, 4*k-1)*prod(k=1, n, 4*k-3))}
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CROSSREFS
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Cf. A004981(n)=T(n, 0), A004982(n)=T(0, n), A001448(n)=T(n, n).
Adjacent sequences: A122879 A122880 A122881 this_sequence A122883 A122884 A122885
Sequence in context: A077933 A141572 A141257 this_sequence A136700 A054645 A050425
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KEYWORD
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nonn,tabl
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AUTHOR
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Michael Somos, Sep 16 2006
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