%I A007682 M5044
%S A007682 1,1,1,1,1,17,107,415,1231,56671,924365,11322001,97495687,78466897,
%T A007682 31987213451,1073614991039,26754505127713,558657850929473,9259584394031075,
%U A007682 70982644052430799,3334438016903221111,240585292388924690959,10679411902033402697861
%V A007682 1,-1,1,1,-1,-17,-107,-415,1231,56671,924365,11322001,97495687,-78466897,
%W A007682 -31987213451,-1073614991039,-26754505127713,-558657850929473,-9259584394031075,
%X A007682 -70982644052430799,3334438016903221111,240585292388924690959,10679411902033402697861
%N A007682 a(n) = - Sum (n+k)!a(k)/(2k)!, k = 0..n-1.
%D A007682 H. W. Gould, A class of binomial sums and a series transformation, Utilitas 
               Math., 45 (1994), 71-83.
%D A007682 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%p A007682 A007682 := proc(n) option remember; if n=0 then RETURN(1) fi; if n>0 
               then RETURN((-1)*add((n+k)!*'A007682(k)'/(2*k)!, k=0..n-1 )) fi; 
               end;
%Y A007682 Sequence in context: A164745 A121823 A142321 this_sequence A125327 A126485 
               A159031
%Y A007682 Adjacent sequences: A007679 A007680 A007681 this_sequence A007683 A007684 
               A007685
%K A007682 sign,easy,nice
%O A007682 0,6
%A A007682 N. J. A. Sloane (njas(AT)research.att.com).