

A103910


Triangle T read by rows: inverse of fibonomial triangle (A010048).


1



1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 3, 0, 3, 1, 6, 5, 15, 0, 5, 1, 35, 48, 40, 60, 0, 8, 1, 181, 455, 624, 260, 260, 0, 13, 1, 6056, 3801, 9555, 6552, 1820, 1092, 0, 21, 1, 3741, 205904, 129234, 162435, 74256, 12376, 4641, 0, 34, 1
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OFFSET

1,9


COMMENTS

Conjecture: all rows except the first add to zero.


LINKS



FORMULA

Conjecture: T(n+k, n) = A010048(n+k1, k)*T(k, 1), n>1.
a(n,k) = A010048(n,k) * (Sum[s=1..nk;(1)^s * Sum[k1+k2+..+ks=nk,ki>=1; C(nk; k1,k2,...,ks)] ]) where C(n; k1,k2,...,ks) is a multiFnomial coefficient.  Maciej Dziemianczuk, Dec 21 2008


EXAMPLE

1,
1,1,
0,1,1,
1,0,2,1,
1,3,0,3,1,
6,5,15,0,5,1,
35,48,40,60,0,8,1,
181,455,624,260,260,0,13,1,
6056,3801,9555,6552,1820,1092,0,21,1,


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



