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A105627 Column 1 of triangle A105626. 2
1, 6, 48, 480, 5736, 79584, 1256808, 22262640, 437315016, 9438589824, 222109617288, 5661445534800, 155427839133096, 4573268363775264, 143592923776842408, 4792636497324986160, 169456698405536983176 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

A105626 equals the cube of the matrix square-root of triangle A105615.

PROG

(PARI) {a(n)=local(R, M=matrix(n+2, n+2, m, j, if(m>=j, if(m==j, 1, if(m==j+1, -2*j, polcoeff(1/sum(i=0, m-j, (2*i)!/i!/2^i*x^i)+O(x^m), m-j)))))^-3); R=(M+M^0)/2; for(i=1, floor(2*log(n+2)), R=(R+M*R^(-1))/2); return(if(n<0, 0, R[n+2, 2]))}

CROSSREFS

Cf. A105615, A105626.

Sequence in context: A175916 A085457 A188911 * A051578 A052639 A053506

Adjacent sequences:  A105624 A105625 A105626 * A105628 A105629 A105630

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Apr 16 2005

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.