A048505 - OEIS

%I #8 Mar 30 2012 18:56:55

%S 1,2,1,7,5,1,25,18,10,1,81,56,35,17,1,241,160,101,58,26,1,673,432,269,

%T 160,87,37,1,1793,1120,685,408,233,122,50,1,4609,2816,1693,1000,577,

%U 320,163,65,1,11521,6912,4093,2392,1377,776,421

%N Array T read by diagonals, n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+n)^2, for n=1,2,3,...; k=0,1,2,...

%F T(k, n) = (n^2 + (4k+1)n + (2k)^2) * 2^(n-2) - k^2 + 1. - _Ralf Stephan_, Feb 05 2004

%e Diagonals: {1}; {2,1}; {7,5,1}; ...

%Y Row 2 = (1, 5, 18, 56, 160, ...) = A001793.

%K nonn,tabl

%O 0,2

%A _Clark Kimberling_