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 A182669 Floor-sum sequence of r, with r = golden ratio = (1+sqrt(5))/2 and a(1)=1, a(2)=3. 2
 1, 3, 6, 11, 14, 19, 22, 24, 27, 32, 35, 37, 40, 43, 45, 48, 53, 56, 58, 61, 64, 66, 69, 71, 74, 77, 79, 82, 87, 90, 92, 95, 98, 100, 103, 105, 108, 111, 113, 116, 119, 121, 124, 126, 129, 132, 134, 137, 139, 142, 145, 147, 150, 153, 155, 158, 160, 163, 166, 168, 171, 173, 174, 176, 179, 181, 184 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Let S be the set generated by these rules:  (1) if m and n are in S and m=s(j) then swap s(i), s(j) next j, i For i=1 to 120: if s(i+1)<>s(i) then print s(i); next i (PARI) lista(nn) = my(S=[1, 3], r=(1+sqrt(5))/2, new, k); while(1, new=[]; for(m=1, #S, for(n=m+1, #S, k=floor(r*(S[m]+S[n])); if(k<=nn, new=setunion(new, [k])))); if(S==setunion(S, new), return(S)); S=setunion(S, new)) \\ Iain Fox, Apr 25 2019 CROSSREFS Cf. A000201, A182653, A182570. Sequence in context: A285422 A063275 A191270 * A026368 A246976 A189380 Adjacent sequences:  A182666 A182667 A182668 * A182670 A182671 A182672 KEYWORD nonn AUTHOR Clark Kimberling, Nov 27 2010 EXTENSIONS 139 (generated by m=22, n=64) added by R. J. Mathar, Nov 28 2010 STATUS approved

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Last modified September 21 19:40 EDT 2021. Contains 347598 sequences. (Running on oeis4.)