Search: id:A090365
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%I A090365
%S A090365 1,1,3,11,47,225,1177,6625,39723,251939,1681535,11764185,86002177,
%T A090365 655305697,5193232611,42726002123,364338045647,3215471252769,
%U A090365 29331858429241,276224445794785,2682395337435723,26832698102762435
%N A090365 Shifts 1 place left under the INVERT transform of the BINOMIAL transform 
               of this sequence.
%C A090365 The Hankel transform of this sequence is A000178(n+1); example: det([1,
               1,3; 1,3,11; 3,11,47]) = 12 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), 
               Mar 02 2005
%F A090365 G.f.: A(x) = 1/(1 - A(x/(1-x))*x/(1-x) ).
%F A090365 a(n) = Sum_{k = 0..n} A085838(n, k) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), 
               Jun 04 2004
%F A090365 G.f.: 1/x-1-1/(B(x)-1) where B(x) = g.f. for A000110 the Bell numbers. 
               - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 08 2004
%F A090365 a(n)=Sum_{k, 0<=k<=n}A094456(n,k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 07 2007
%o A090365 (PARI) {a(n)=local(A); if(n<0,0,A=1+x+x*O(x^n); for(k=1,n,B=subst(A,x, 
               x/(1-x))/(1-x)+x*O(x^n); A=1+x*A*B);polcoeff(A,n,x))}
%Y A090365 Cf. A090366, A090367.
%Y A090365 Cf. A074664.
%Y A090365 Sequence in context: A059284 A118927 A062146 this_sequence A035009 A051296 
               A030832
%Y A090365 Adjacent sequences: A090362 A090363 A090364 this_sequence A090366 A090367 
               A090368
%K A090365 nonn
%O A090365 0,3
%A A090365 Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003

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