%I A005116 M2571
%S A005116 1,3,6,13,25,50,94,178,328,601,1083,1940,3436,6047,10558,18326,31614,
%T A005116 54265,92683,157626,266985,450580,757851,1270757,2124721,3543318,
%U A005116 5894831,9785243,16210036,26802756,44240560,72906608,119969779
%N A005116 Number of protruded partitions of n with largest part at most 10.
%D A005116 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005116 R. P. Stanley, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232.
%D A005116 R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. 
               Math. Soc., no. 119 (1972).
%F A005116 G.f. = (1-x)^10/Product(1-x-x^i+x^(1+2*i), i=1..10)-1. - Emeric Deutsch 
               (deutsch(AT)duke.poly.edu), Dec 19 2004
%p A005116 G:=(1-x)^10/Product(1-x-x^i+x^(1+2*i),i=1..10)-1: Gser:=series(G,x=0,
               39): seq(coeff(Gser,x^n),n=1..37); (Deutsch)
%Y A005116 Sequence in context: A131913 A005406 A005407 this_sequence A121349 A074890 
               A032198
%Y A005116 Adjacent sequences: A005113 A005114 A005115 this_sequence A005117 A005118 
               A005119
%K A005116 nonn
%O A005116 1,2
%A A005116 N. J. A. Sloane (njas(AT)research.att.com), R. P. Stanley
%E A005116 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004