%I A072576
%S A072576 1,2,2,8,8,14,38,44,68,98,242,272,440,590,878,1772,2180,3194,4466,6320,
%T A072576 8432,16190,19262,28580,38276,54314,70730,99152,163328,204230,286670,
%U A072576 386132,527132,695978,941738,1220984,1950128,2390294,3321398,4342148
%N A072576 Limit of number of compositions (unordered partitions) of m into distinct 
               parts where largest part is exactly m-n, for m sufficiently large 
               given n.
%H A072576 <a href="Sindx_Com.html#comp">Index entries for sequences related to 
               compositions</a>
%F A072576 a(n) =Sum_k (k+1)!*A060016(n, k) =Sum_k (k+1)*A072574(n, k).
%e A072576 a(3)=8 because for any m>6 the number of compositions of e.g. m=7 into 
               distinct parts where the largest part is exactly m-3=7-3=4 is eight, 
               since 7 can be written as 4+3 =4+2+1 =4+1+2 =3+4 =2+4+1 =2+1+4 =1+4+2 
               =1+2+4.
%Y A072576 Cf. A072575.
%Y A072576 Sequence in context: A138102 A151924 A058524 this_sequence A060818 A082887 
               A137583
%Y A072576 Adjacent sequences: A072573 A072574 A072575 this_sequence A072577 A072578 
               A072579
%K A072576 nonn
%O A072576 0,2
%A A072576 Henry Bottomley (se16(AT)btinternet.com), Jun 21 2002