A035509 - OEIS

%I #14 Jun 01 2019 13:49:46

%S 1,7,25,101,321,1075,3426,9958,30253,92735,253731,739303,2056915,

%T 5899304,17108660,46137324,130016549,370248450,993480845,2766546762,

%U 7510827752,20798505510,58123818148,155141346542,426530329383

%N Main diagonal of Inverse Stolarsky array.

%H C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions</a>

%H C. Kimberling, <a href="https://doi.org/10.1090/S0002-9939-1993-1111434-0">Interspersions and dispersions</a>, Proceedings of the American Mathematical Society 117 (1993) 313-321.

%H N. J. A. Sloane, <a href="/classic.html#WYTH">Classic Sequences</a>

%p 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 Cf. A035507.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 01 2005