Search: id:A035509
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%I A035509
%S A035509 1,7,25,101,321,1075,3426,9958,30253,92735,253731,739303,2056915,
%T A035509 5899304,17108660,46137324,130016549,370248450,993480845,2766546762,
%U A035509 7510827752,20798505510,58123818148,155141346542,426530329383
%N A035509 Main diagonal of Inverse Stolarsky array.
%D A035509 C. Kimberling, "Interspersions and dispersions," Proceedings of the American 
               Mathematical Society 117 (1993) 313-321.
%H A035509 C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">
               Interspersions</a>
%H A035509 N. J. A. Sloane, <a href="classic.html#WYTH">Classic Sequences</a>
%p A035509 with(combinat, fibonacci): gold:=(1+sqrt(5))/2: c1:=n->piecewise(n<>1,
               round((n-1)*gold),1): c2:=n->c1(n)+floor((2*c1(n)+1)*gold/2)+1: inv_stol:=(n,
               k)->fibonacci(2*k-3)-1-c1(n)*fibonacci(2*k-4)+c2(n)*fibonacci(2*k-2): 
               seq(inv_stol(n,n),n=1..30); inv_stol2:=(n,k)->(1+c1(n))*fibonacci(2*k-3)+(1+floor((2*c1(n)+1)*gold/
               2))*fibonacci(2*k-2)-1: seq(inv_stol2(n,n),n=1..30); inv_stol3:=proc(n,
               k) options remember: if k=1 then RETURN(c1(n)) elif k=2 then RETURN(c2(n)) 
               else RETURN(3*inv_stol3(n,k-1)-inv_stol3(n,k-2)+1) fi: end: : seq(inv_stol3(n,
               n),n=1..30); (Ronaldo)
%Y A035509 Cf. A035507.
%Y A035509 Sequence in context: A146933 A155258 A138729 this_sequence A141627 A102900 
               A155271
%Y A035509 Adjacent sequences: A035506 A035507 A035508 this_sequence A035510 A035511 
               A035512
%K A035509 nonn,easy
%O A035509 0,2
%A A035509 N. J. A. Sloane (njas(AT)research.att.com).
%E A035509 More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 01 2005

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