%I A008969
%S A008969 1,1,3,1,11,7,1,50,85,15,1,274,1660,575,31,1,1764,48076,46760,3661,63,
%T A008969 1,13068,1942416,6998824,1217776,22631,127,1,109584,104587344,
%U A008969 1744835904,929081776,30480800,137845,255
%N A008969 Triangle of differences of reciprocals of unity.
%D A008969 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 228.
%H A008969 Alois P. Heinz, <a href="b008969.txt">Table of n, a(n) for n = 1..1081</
               a>
%p A008969 T:= (n,k)-> `if`(k<=n, (n-k+2)!^k *sum ((-1)^(j+1) *binomial(n-k+2,j)/ 
               j^k, j=1..n-k+2),0): seq (seq (T(n,k), k=0..n), n=0..7); [From Alois 
               P. Heinz (heinz(AT)hs-heilbronn.de), Sep 05 2008]
%Y A008969 Cf. A001236, A001237, A001238, A001240, A001241, A001242.
%Y A008969 Columns include A000254, A000424, A001236, A001237, A001238. Right-hand 
               columns include A000225, A001240, A001241, A001242.
%Y A008969 Sequence in context: A111965 A110440 A135574 this_sequence A119908 A153257 
               A002185
%Y A008969 Adjacent sequences: A008966 A008967 A008968 this_sequence A008970 A008971 
               A008972
%K A008969 nonn,tabl
%O A008969 1,3
%A A008969 N. J. A. Sloane (njas(AT)research.att.com).