%I A096039
%S A096039 1,6,2,31,18,3,156,124,36,4,781,780,310,60,5,3906,4686,2340,620,90,6,
%T A096039 19531,27342,16401,5460,1085,126,7,97656,156248,109368,43736,10920,1736,
%U A096039 168,8,488281,878904,703116,328104,98406,19656,2604,216,9,2441406
%N A096039 Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^5-M)/4, where 
               M is the infinite lower Pascal's triangle matrix, 1<=k<=n.
%e A096039 Triangle begins:
%e A096039 1
%e A096039 6 2
%e A096039 31 18 3
%e A096039 156 124 36 4
%e A096039 781 780 310 60 5
%e A096039 3906 4686 2340 620 90 6
%p A096039 P:= proc(n) option remember; local M; M:= Matrix (n, (i, j)-> binomial 
               (i-1, j-1)); (M^5-M)/4 end: T:= (n, k)-> P(n+1) [n+1, k]: seq (seq 
               (T (n, k), k=1..n), n=1..11); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Oct 07 2009]
%Y A096039 Cf. A007318. First column gives A003463. Row sums give A016129.
%Y A096039 Sequence in context: A036173 A142707 A084249 this_sequence A038256 A100251 
               A020339
%Y A096039 Adjacent sequences: A096036 A096037 A096038 this_sequence A096040 A096041 
               A096042
%K A096039 nonn,tabl
%O A096039 1,2
%A A096039 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
%E A096039 Edited with more terms and Maple program by Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Oct 07 2009