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A104560 Matrix inverse of triangle A104559, read by rows. 1
1, -1, 1, 1, -2, 1, -2, 5, -4, 1, 6, -16, 15, -6, 1, -30, 81, -79, 36, -9, 1, 204, -552, 543, -256, 72, -12, 1, -1944, 5262, -5184, 2461, -712, 132, -16, 1, 23340, -63180, 62260, -29596, 8615, -1640, 220, -20, 1, -360060, 974670, -960520, 456700, -133091, 25475, -3500, 350, -25, 1, 6692280, -18115800 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Column 0 is A104561.

LINKS

Table of n, a(n) for n=0..56.

EXAMPLE

Triangle begins:

1;

-1,1;

1,-2,1;

-2,5,-4,1;

6,-16,15,-6,1;

-30,81,-79,36,-9,1;

204,-552,543,-256,72,-12,1;

-1944,5262,-5184,2461,-712,132,-16,1;

23340,-63180,62260,-29596,8615,-1640,220,-20,1;

-360060,974670,-960520,456700,-133091,25475,-3500,350,-25,1; ...

PROG

(PARI) {T(n, k)=local(M); M=matrix(n+1, n+1, m, j, if(m>=j, binomial(m-1-(j-1)\2, j\2)*binomial(m-1-j\2, (j-1)\2))); return((M^-1)[n+1, k+1])}

CROSSREFS

Cf. A104559, A104561.

Sequence in context: A151703 A151691 A201780 * A121435 A137156 A136457

Adjacent sequences:  A104557 A104558 A104559 * A104561 A104562 A104563

KEYWORD

sign,tabl

AUTHOR

Paul D. Hanna, Mar 16 2005

STATUS

approved

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Last modified March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)