%I A005407 M2570
%S A005407 1,3,6,13,25,50,93,175,320,582,1041,1851,3253,5682,9848,16970,29070,
%T A005407 49559,84090,142107,239239,401404,671386,1119799,1862861,3091708,
%U A005407 5120090,8462535,13961695,22996307,37819865,62112581,101879568
%N A005407 Number of protruded partitions of n with largest part at most 6.
%D A005407 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005407 R. P. Stanley, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232.
%D A005407 R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. 
               Math. Soc., no. 119 (1972).
%F A005407 G.f. = (1-x)^6/Product(1-x-x^i+x^(1+2*i), i=1..6)-1. - Emeric Deutsch 
               (deutsch(AT)duke.poly.edu), Dec 19 2004
%p A005407 G:=(1-x)^6/Product(1-x-x^i+x^(1+2*i),i=1..6)-1: Gser:=series(G,x=0,39): 
               seq(coeff(Gser,x^n),n=1..37); (Deutsch)
%Y A005407 Sequence in context: A048039 A131913 A005406 this_sequence A005116 A121349 
               A074890
%Y A005407 Adjacent sequences: A005404 A005405 A005406 this_sequence A005408 A005409 
               A005410
%K A005407 nonn
%O A005407 1,2
%A A005407 N. J. A. Sloane (njas(AT)research.att.com).
%E A005407 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004