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 A045775 Extension of Beatty sequence; complement of A045774. 2
 0, 5, 10, 15, 20, 28, 33, 38, 43, 51, 56, 61, 66, 74, 79, 84, 89, 97, 102, 107, 112, 117, 122, 127, 135, 140, 145, 150, 158, 163, 168, 173, 181, 186, 191, 196, 204, 209, 214, 219, 224, 229, 234, 242, 247, 252, 257, 265, 270, 275, 280, 288, 293, 298, 303 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS (s,t)-sequences; the case s=3, t=2. REFERENCES Clark Kimberling, Complementary Equations, Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.4. LINKS A. S. Fraenkel, Heap games, numeration systems and sequences, Annals of Combinatorics, 2 (1998), 197-210. Wen An Liu and Xiao Zhao, Adjoining to (s,t)-Wythoff's game its P-positions as moves, Discrete Applied Mathematics, 27 August 2014; see Table 5. FORMULA a(n) = 3*A045774(n)+2*n. MATHEMATICA s=3; t=2; mex:=First[Complement[Range[1, Max[#1]+1], #1]]&; a[0]=0; b[n_]:=b[n]=s*a[n]+t*n; a[n_]:=a[n]=mex[Flatten[Table[{a[i], b[i]}, {i, 0, n-1}]]]; Table[a[n], {n, 200}] (* A045774 *) Table[b[n], {n, 200}] (* A045775 *) (* From Clark Kimberling, Apr 02 2011 *) CROSSREFS Cf. A045749, A045750. Sequence in context: A313760 A313761 A045682 * A178892 A269805 A206715 Adjacent sequences:  A045772 A045773 A045774 * A045776 A045777 A045778 KEYWORD nonn AUTHOR STATUS approved

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Last modified September 18 13:54 EDT 2021. Contains 347527 sequences. (Running on oeis4.)