The On-Line Encyclopedia of Integer Sequences (OEIS)

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A111550

Column 1 of A111549, which is the matrix log of A111544.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:36:50 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Aug 07 2005

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/213

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

AUTHOR

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

#1 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

NAME

Column 1 of A111549, which is the matrix log of A111544.

DATA

0, 2, 6, 32, 222, 1824, 17016, 176112, 1993392, 24438960, 322294896, 4548010032, 68385367152, 1091838106800, 18454096189296, 329306074785072, 6189015238217712, 122232512688657840, 2531600753529542256

OFFSET

0,2

PROG

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

CROSSREFS

Cf. A111549, A111544.

KEYWORD

nonn

AUTHOR

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

STATUS

approved