A130847 - OEIS

%I #4 Sep 08 2013 13:31:20

%S 1,1,1,3,5,2,15,42,37,10,105,450,699,458,104,945,5775,13845,16065,

%T 8866,1816,10395,85995,293265,522345,506028,248660,47312

%N Triangle T(n,k), 0<=k<=n, read by rows, given by [1,2,3,4,5,6,7,8,9,10,...] DELTA [1,1,6,6,15,15,28,28,...] where DELTA is the operator defined in A084938 .

%F Sum_{k, 0<=k<=n}T(n,k)*x^k = A033999(n), A000007(n), A001147(n), A005799(n+1), A125054(n), A126152(n), A126157(n) for x= -2, -1, 0, 1, 2, 3, 4 respectively . T(n,n)=A005799(n).

%e Triangle begins:

%e 1;

%e 1, 1;

%e 3, 5, 2;

%e 15, 42, 37, 10;

%e 105, 450, 699, 458, 104;

%e 945, 5775, 13845, 16065, 8866, 1816;

%e 10395, 85995, 293265, 522345, 506028, 248660, 47312 ;...

%K nonn,tabl

%O 0,4

%A _Philippe Deléham_, Jul 21 2007, Jul 25 2007