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Search: id:A107668
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A107668 Column 0 of triangle A107667. +0
4
1, 4, 45, 816, 20225, 632700, 23836540, 1048592640, 52696514169, 2976295383100, 186548057815801, 12845016620629488, 963644465255618276, 78224633235142116240, 6830914919397129328500, 638477522900795994967040 (list; graph; listen)
OFFSET

0,2

COMMENT

Shift right of column 1 of triangle A107670, which is the matrix square of triangle A107667.

FORMULA

a(n) = (n+1)^2*A107669(n).

PROGRAM

(PARI) {a(n)=local(A); if(n==0, n+1, A=(n+1)*x+x*O(x^n); for(k=0, n, A+=polcoeff(A, k)*x^k*(n+1-prod(i=0, k, 1+(i-n-1)*x))); polcoeff(A, n))}

CROSSREFS

Cf. A107667, A107669, A107670.

Sequence in context: A039657 A114473 A126747 this_sequence A158887 A126452 A082765

Adjacent sequences: A107665 A107666 A107667 this_sequence A107669 A107670 A107671

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jun 07 2005

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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