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 A110131 Determinant of n X n matrix M_{i,j} = 2^i*P_i(j), where P_i(j) is the Legendre polynomial of order i at j and i and j are 0-based. 6
 1, 2, 24, 2880, 4838400, 146313216000, 97339256340480000, 1683704371913057894400000, 873705178746128941669416960000000, 15414977576506278044562764045746176000000000, 10334857226047177887548812577909403133201612800000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Muniru A Asiru, Table of n, a(n) for n = 1..36 FORMULA a(n) = 2^n * Product_{k=1..n} (2*k-1)!/(k-1)!. a(n) = 2^n * A086205(n). MAPLE seq(mul(mul((j+k), j=1..k), k=1..n-1), n=1..9); # Zerinvary Lajos, Sep 21 2007 PROG (PARI) a(n)=my(t=1); prod(k=1, n-1, t*=4*k-2) \\ Charles R Greathouse IV, Oct 25 2011 (PARI) a(n)=matdet(matrix(n, n, i, j, pollegendre(i-1, j-1)<<(i-1))) \\ Charles R Greathouse IV, Oct 25 2011 CROSSREFS Cf. A086205. Sequence in context: A007079 A083697 A112332 * A101339 A111428 A111429 Adjacent sequences:  A110128 A110129 A110130 * A110132 A110133 A110134 KEYWORD easy,nonn AUTHOR Paul Barry, Jul 13 2005 STATUS approved

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Last modified August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)