%I A147998
%S A147998 0,1,0,3,8,15,24,35,48,63,80,99,120,143,168,195,224,255,
%T A147998 288,323,360,399,440,483,528,575,624,675,728,783,840,899,
%U A147998 960,1023,1088,1155,1224,1295,1368,1443,1520,1599,1680,1763
%V A147998 0,1,0,-3,-8,-15,-24,-35,-48,-63,-80,-99,-120,-143,-168,-195,-224,-255,
%W A147998 -288,-323,-360,-399,-440,-483,-528,-575,-624,-675,-728,-783,-840,-899,
%X A147998 -960,-1023,-1088,-1155,-1224,-1295,-1368,-1443,-1520,-1599,-1680,-1763
%N A147998 Numerators of second column of array b(i,j)=(1/j!)*integral (from -i-1 
               to 1) u(u+1)..(u+j-1) du. a(n)=-n(n+2)=1,-A005563(Lyman).
%C A147998 From reference,pp.54-56. (Partial) array (i from -1,j from 0): 1,1/2,
               5/12,9/24,251/720,475/1440; 2,0,4/12,8/24,232/720,448/1440; 3,-3/
               2,9/12,9/24,243/720,459/1440; 4,-8/2,32/12,0,224/720,448/1440; 5,
               -15/2,85/12,-55/24,475/720,475/1440; 6,-24/2,180/12,-216/24,2376/
               720,0. Vertical denominators are 1,2,12,24,=A091137.Vertical numerators 
               k-th differences are (from A091137) A000012,-A007395,A010851,-A010863. 
               Later comments.
%D A147998 P. Curtz Integration numerique des systemes differentiels a conditions 
               initiales Centre de Calcul Scientifique de l'Armement,Arcueil,1969.Now 
               in 35170 Bruz,France.
%F A147998 a(n)=-n^2+1, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 27 2008]
%F A147998 G.f.: x*(1-3*x)/(1-x)^3 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Aug 30 2009]
%t A147998 a=-3;lst={};k=3;Do[a+=k;AppendTo[lst,a];k-=2,{n,1,5!}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Mar 01 2009]
%Y A147998 Sequence in context: A013648 A005563 A132411 this_sequence A164003 A067998 
               A060615
%Y A147998 Adjacent sequences: A147995 A147996 A147997 this_sequence A147999 A148000 
               A148001
%K A147998 sign
%O A147998 0,4
%A A147998 Paul Curtz (bpcrtz(AT)free.fr), Nov 19 2008
%E A147998 More terms, Mathematica. - Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Mar 01 2009