Search: id:A131132
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%I A131132
%S A131132 1,1,2,3,5,8,14,22,36,58,94,152,247,399,646,1045,1691,2736,4428,7164,11592,
%T A131132 18756,30348,49104,79453,128557,208010,336567,544577,881144,1425722,2306866,
%U A131132 3732588,6039454,9772042,15811496,25583539,41395035,66978574,108373609
%N A131132 a(n) = a(n-1)+a(n-2)+1 if n is a multiple of 6, otherwise a(n) = a(n-1)+a(n-2).
%C A131132 Also: convolution of A000045 with the period-6 sequence (0,0,0,0,0,0, 
               1,...). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
%D A131132 H. Matsui et al., Problem B-1035, Fibonacci Quarterly, Vol. 45, Number 
               2; 2007; p. 182.
%F A131132 O.g.f.: x/((1-x^6)(1-x-x^2)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               May 30 2008
%p A131132 A131132:=proc(n) option remember; local t1; if n <= 2 then RETURN(1); 
               fi: if n mod 6 = 1 then t1:=1 else t1:=0; fi: procname(n-1)+procname(n-2)+t1; 
               end; [seq(A131132(n), n=1..100)]; - N. J. A. Sloane (njas(AT)research.att.com), 
               May 25 2008
%Y A131132 Cf. A052952, A004695, A080239, A124502.
%K A131132 nonn,new
%O A131132 1,3
%A A131132 N. J. A. Sloane (njas(AT)research.att.com), May 25 2008
%E A131132 Typo in Maple code corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               May 30 2008
%E A131132 More specific name from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 09 2009

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