Search: id:A088954
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%I A088954
%S A088954 1,2,4,6,10,14,20,26,36,46,60,74,94,114,140,166,202,238,284,330,390,450,
%T A088954 524,598,692,786,900,1014,1154,1294,1460,1626,1827,2028,2264,2500,2780,
%U A088954 3060,3384,3708,4088,4468,4904,5340,5844,6348,6920,7492,8148,8804,9544
%N A088954 G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).
%H A088954 N. J. A. Sloane and J. A. Sellers, <a href="http://arXiv.org/abs/math.CO/
               0312418">On non-squashing partitions</a>, Discrete Math., 294 (2005), 
               259-274.
%p A088954 f := proc(n,k) option remember; if k > n then RETURN(0); fi; if k= 0 
               then if n=0 then RETURN(1) else RETURN(0); fi; fi; if k = 1 then 
               RETURN(1); fi; if n mod 2 = 1 then RETURN(f(n-1,k)); fi; f(n-1,k)+f(n/
               2,k-1); end; # present sequence is f(2m,6)
%p A088954 GFF := k->x^(2^(k-2))/((1-x)*mul((1-x^(2^j)),j=0..k-2)); # present g.f. 
               is GFF(6)/x^16
%p A088954 a:= proc(n) local m, r; m:= iquo (n, 16, 'r'); r:= r+1; [1, 2, 4, 6, 
               10, 14, 20, 26, 36, 46, 60, 74, 94, 114, 140, 166][r] +(((((128/5*m 
               +8*(15+r))*m +(228 +[0, 32, 68, 104, 144, 184, 228, 272, 320, 368, 
               420, 472, 528, 584, 644, 704][r]))*m +(172 +[0, 43, 98, 153, 223, 
               293, 378, 463, 566, 669, 790, 911, 1053, 1195, 1358, 1521][r]))*m 
               +(247/5 +[0, 22, 55, 88, 138, 188, 255, 322, 415, 508, 627, 746, 
               900, 1054, 1243, 1432][r]))*m)/3 end: seq (a(n), n=0..60); [From 
               Alois P. Heinz (heinz(AT)hs-heilbronn.de), Apr 17 2009]
%Y A088954 See A000027, A002620, A008804, A088932, A000123 for similar sequences.
%Y A088954 Sequence in context: A008804 A001307 A088932 this_sequence A000123 A103257 
               A103259
%Y A088954 Adjacent sequences: A088951 A088952 A088953 this_sequence A088955 A088956 
               A088957
%K A088954 nonn
%O A088954 0,2
%A A088954 N. J. A. Sloane (njas(AT)research.att.com), Dec 02 2003

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