%I A005405 M2565
%S A005405 1,3,6,13,24,47,86,159,285,509,895,1565,2708,4660,7964,13543,22912,
%T A005405 38604,64785,108356,180661,300384,498183,824365,1361302,2243799,3692159,
%U A005405 6066161,9952786,16309055,26694132,43646685,71297770,116366274
%N A005405 Number of protruded partitions of n with largest part at most 4.
%D A005405 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005405 R. P. Stanley, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232.
%D A005405 R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. 
               Math. Soc., no. 119 (1972).
%F A005405 G.f. = (1-x)^4/Product(1-x-x^i+x^(1+2*i), i=1..4)-1. - Emeric Deutsch 
               (deutsch(AT)duke.poly.edu), Dec 19 2004
%p A005405 G:=(1-x)^4/Product(1-x-x^i+x^(1+2*i),i=1..4)-1: Gser:=series(G,x=0,39): 
               seq(coeff(Gser,x^n),n=1..37); (Deutsch)
%Y A005405 Sequence in context: A061567 A018081 A001452 this_sequence A000219 A027999 
               A005196
%Y A005405 Adjacent sequences: A005402 A005403 A005404 this_sequence A005406 A005407 
               A005408
%K A005405 nonn
%O A005405 1,2
%A A005405 N. J. A. Sloane (njas(AT)research.att.com).
%E A005405 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 19 2004