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 A085839 a(0)=1, a(1)=3, a(n) = floor((Pi + 1/Pi)*a(n-1) - a(n-2)). 4
 1, 3, 9, 28, 87, 273, 857, 2692, 8457, 26568, 83465, 262212, 823762, 2587924, 8130202, 25541782, 80241874, 252087281, 791955549, 2488001734, 7816287969, 24555592861, 77143670136, 242353987370, 761377506289, 2391937980365 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n+1)/a(n) converges to Pi. LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 MATHEMATICA a[n_] := a[n] = Floor[(Pi + 1/Pi)a[n - 1] - a[n - 2]]; Table[a[n], {n, 0, 25}] (* Robert G. Wilson v *) nxt[{a_, b_}]:=Module[{c=Pi+1/Pi}, {b, Floor[b*c-a]}]; NestList[nxt, {1, 3}, 30][[All, 1]] (* Harvey P. Dale, Oct 07 2018 *) CROSSREFS Cf. A000796, A085421, A085422. Sequence in context: A263841 A052939 A225114 * A115239 A134915 A339064 Adjacent sequences:  A085836 A085837 A085838 * A085840 A085841 A085842 KEYWORD nonn AUTHOR Gary W. Adamson, Jul 05 2003 EXTENSIONS Edited by Don Reble, Nov 14 2005 Definition corrected by Robert G. Wilson v, Apr 26 2006 STATUS approved

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Last modified July 27 05:26 EDT 2021. Contains 346305 sequences. (Running on oeis4.)