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A transformation of the Catalan sequence.
1

%I #4 Mar 30 2012 18:51:51

%S 1,2,1,-1,1,6,1,-13,1,43,1,-131,1,430,1,-1429,1,4863,1,-16795,1,58787,

%T 1,-208011,1,742901,1,-2674439,1,9694846,1,-35357669,1,129644791,1,

%U -477638699,1,1767263191,1,-6564120419,1,24466267021,1,-91482563639,1,343059613651

%N A transformation of the Catalan sequence.

%F a(2n)=1. a(2n+1)= 1+(-1)^n*C(n+1), where C=A000108.

%F a(n+1)-a(n) = A129996(n) (similar to A099363 and A106181).

%K sign

%O 0,2

%A _Paul Curtz_, May 24 2007

%E Edited and extended by _R. J. Mathar_, Jul 04 2008