

A113290


Matrix logarithm of triangle A113287.


5



0, 2, 0, 3, 0, 0, 6, 4, 4, 0, 10, 10, 10, 0, 0, 19, 24, 30, 12, 6, 0, 35, 49, 70, 42, 21, 0, 0, 72, 104, 164, 128, 84, 24, 8, 0, 150, 216, 360, 324, 252, 108, 36, 0, 0, 343, 480, 820, 800, 710, 400, 180, 40, 10, 0, 803, 1089, 1870, 1892, 1826, 1210, 660, 220, 55, 0, 0
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..65.


FORMULA

T(n, 1) = (n+1)*A113291(n).


EXAMPLE

Triangle begins:
0;
2,0;
3,0,0;
6,4,4,0;
10,10,10,0,0;
19,24,30,12,6,0;
35,49,70,42,21,0,0;
72,104,164,128,84,24,8,0;
150,216,360,324,252,108,36,0,0;
343,480,820,800,710,400,180,40,10,0; ...


PROG

(PARI) {T(n, k)=local(x=X+O(X^(n+2)), y=Y+O(Y^(n+2)), M=matrix(n+1, n+1, r, c, if(r==c, 1, if(r>c, r*polcoeff(polcoeff(1/(1x*y)+x/((1x*y)*(1+x+x*y)), r1, X), c1, Y))))); if(n<k, 0, (sum(j=1, n+1, (M^0M)^j/j))[n+1, k+1])}


CROSSREFS

Cf. A113287, A113288, A113291 (column 1), A113292 (column 0), A072374.
Sequence in context: A080089 A322841 A291044 * A078442 A175663 A240672
Adjacent sequences: A113287 A113288 A113289 * A113291 A113292 A113293


KEYWORD

sign,tabl


AUTHOR

Paul D. Hanna, Oct 23 2005


STATUS

approved



