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A110131
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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.
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2
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1, 2, 24, 2880, 4838400, 146313216000, 97339256340480000, 1683704371913057894400000, 873705178746128941669416960000000, 15414977576506278044562764045746176000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n)=2^n*prod(k=1, n, (2*k-1)!/(k-1)!); a(n)=2^n*A086205(n).
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MAPLE
| seq(mul(mul((j+k), j=1..k), k=1..n-1), n=1..9); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 21 2007
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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
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CROSSREFS
| Sequence in context: A007079 A083697 * A112332 A101339 A111428 A111429
Adjacent sequences: A110128 A110129 A110130 * A110132 A110133 A110134
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 13 2005
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