login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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