cp's OEIS Frontend

A059881 As upper right triangle: wiggly sums to n where first term is k (sums in which terms alternately increase and decrease or vice versa; zigzag and zagzig partitions).

%I A059881 #3 Mar 30 2012 18:51:33
%S A059881 1,0,1,1,1,1,2,0,1,1,2,2,1,1,1,4,4,1,1,1,1,6,5,3,2,1,1,1,9,8,5,2,2,1,
%T A059881 1,1,14,13,9,4,3,2,1,1,1,23,19,14,8,3,3,2,1,1,1,35,31,20,13,7,4,3,2,1,
%U A059881 1,1,55,49,32,20,12,6,4,3,2,1,1,1,87,76,50,32,18,11,7,4,3,2,1,1,1,136
%N A059881 As upper right triangle: wiggly sums to n where first term is k (sums in which terms alternately increase and decrease or vice versa; zigzag and zagzig partitions).
%F A059881 T(n, k) =A059882(n, k)+A059883(n, k) if n>k>0; T(n, n)=1 if n>0.
%e A059881 Rows start (1,0,1,2,2,...), (1,1,0,2,...), (1,1,1,...) etc. T(10,4)=8 since 10 can be written as 4+6, 4+5+1, 4+2+4, 4+2+3+1, 4+1+5, 4+1+4+1, 4+1+3+2, or 4+1+2+1+2.
%Y A059881 Column sums are A025047. Cf. A025048, A025049, A059882, A059883.
%K A059881 nonn,tabl
%O A059881 1,7
%A A059881 _Henry Bottomley_, Feb 05 2001