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A184426 Upper s-Wythoff sequence, where s=A000217 (triangular numbers). Complement of A184425. 2

%I #8 Mar 30 2012 18:57:13

%S 2,6,10,15,22,29,37,47,57,68,80,94,108,123,139,156,174,194,214,235,

%T 257,280,304,330,356,383,411,440,470,501,534,567,601,636,672,709,747,

%U 786,826,868,910,953,997,1042,1088,1135,1183,1232,1283,1334,1386,1439,1493,1548,1604,1661,1719,1778,1839,1900,1962,2025,2089,2154,2220,2287,2355,2424,2494,2566,2638,2711,2785,2860,2936,3013,3091,3170,3250,3331,3413,3496,3581,3666

%N Upper s-Wythoff sequence, where s=A000217 (triangular numbers). Complement of A184425.

%C See A184117 for the definition of lower and upper s-Wythoff sequences.

%t mex:=First[Complement[Range[1,Max[#1]+1],#1]]&;

%t s[n_]:=n (n+1)/2;a[1]=1;b[n_]:=b[n]=s[n]+a[n];

%t a[n_]:=a[n]=mex[Flatten[Table[{a[i],b[i]},{i,1,n-1}]]];

%t Table[s[n],{n,40}]

%t Table[a[n],{n,120}]

%t Table[b[n],{n,100}]

%Y Cf. A184117, A184425.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 14 2011

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Last modified July 13 06:34 EDT 2024. Contains 374267 sequences. (Running on oeis4.)