%I A045761
%S A045761 0,1,1,1,2,3,6,12,24,50,107,232,508,1124,2513,5665,12858,29356,67371,
%T A045761 155345,359733,836261,1950829,4565305,10714501,25212843,59474318,
%U A045761 140609809,333126672,790764280,1880489541,4479494059,10687448937
%N A045761 Define polynomials Pn by P0 = 0, P1 = x, P2 = P1 + P0, P3 = P2 * P1, 
               P4 = P3 + P2, etc. alternately adding or multiplying. For even n>
               2k, then first k coefficients of Pn remain unchanged and their values 
               are the first k terms of the sequence.
%Y A045761 Cf. A039941, A001696.
%Y A045761 Sequence in context: A110164 A035055 A119559 this_sequence A077903 A038086 
               A032305
%Y A045761 Adjacent sequences: A045758 A045759 A045760 this_sequence A045762 A045763 
               A045764
%K A045761 nonn
%O A045761 0,5
%A A045761 James Boudinot (jboudinot(AT)yahoo.com)
%E A045761 More terms from Michael Somos, May 19 2000