cp's OEIS Frontend

A239331 Square array, read by antidiagonals: column k has g.f. (1+(k-1)*x)^2/(1-x)^3.

%I A239331 #5 Mar 17 2014 01:36:33
%S A239331 1,1,1,1,3,1,1,5,6,1,1,7,13,10,1,1,9,22,25,15,1,1,11,33,46,41,21,1,1,
%T A239331 13,46,73,79,61,28,1,1,15,61,106,129,121,85,36,1,1,17,78,145,191,201,
%U A239331 172,113,45,1,1,19,97,190,265,301,289,232,145,55,1,1,21
%N A239331 Square array, read by antidiagonals: column k has g.f. (1+(k-1)*x)^2/(1-x)^3.
%F A239331 T(n,k) = 3*T(n-1,k) - 3*T(n-2,k) + T(n-3,k).
%F A239331 T(n,k) = 3*T(n,k-1) - 3*T(n,k-2) + T(n,k-3).
%F A239331 T(n,k) = (T(n,k-1) + T(n,k+1))/2 - A161680(n).
%F A239331 T(n,k) = (T(n-1,k) + T(n+1,k) - A000290(n))/2.
%e A239331 Square array begins:
%e A239331 n\k : 0......1......2......3......4......5......6......7......8......9
%e A239331 ======================================================================
%e A239331 .0||  1......1......1......1......1......1......1......1......1......1
%e A239331 .1||  1......3......5......7......9.....11.....13.....15.....17.....19
%e A239331 .2||  1......6.....13.....22.....33.....46.....61.....78.....97....118
%e A239331 .3||  1.....10.....25.....46.....73....106....145....190....241....298
%e A239331 .4||  1.....15.....41.....79....129....191....265....351....449....559
%e A239331 .5||  1.....21.....61....121....201....301....421....561....721....901
%e A239331 .6||  1.....28.....85....172....289....436....613....820...1057...1324
%e A239331 .7||  1.....36....113....232....393....596....841...1128...1457...1828
%e A239331 .8||  1.....45....145....301....513....781...1105...1485...1921...2413
%e A239331 .9||  1.....55....181....379....649....991...1405...1891...2449...3079
%e A239331 10||  1.....66....221....466....801...1226...1741...2346...3041...3826
%e A239331 11||  1.....78....265....562....969...1486...2113...2850...3697...4654
%Y A239331 Cf. Columns: A000012, A000217, A001844, A038764, A081585, A081587, A081589, A081591, A081593.
%Y A239331 Cf. Rows: A000012, A005408, A028872, A100536, A239325, A069133.
%K A239331 nonn,tabl
%O A239331 0,5
%A A239331 _Philippe Deléham_, Mar 16 2014