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A205883
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Length of n-th run of A205600(n).
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2
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2, 4, 6, 9, 13, 23, 29, 43, 51, 60, 80, 91, 103, 116, 144, 159, 175, 192, 210, 248, 268, 289, 311, 334, 382, 407, 433, 460, 516, 545, 605, 636, 668, 701, 769, 804, 840, 914, 952, 991, 1031, 1113, 1155, 1198, 1286, 1331, 1377, 1424, 1520, 1569, 1669, 1720, 1824, 1877, 1931, 1986, 2098, 2155, 2271, 2330, 2390, 2512, 2574, 2637, 2701, 2831, 2897, 3031, 3099, 3168, 3238
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n)=2+sum(k=1,n,A205600(k)*(k-1)). It seems that a(n)=c*n^2+smaller terms with c=0.64...(see graphic provided in the link)
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PROG
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(PARI) /* program to get the first 100 terms: */ v=[1, 2]; L=[2]; for(n=2, 100, v=if(v[n]-2, concat(v, vector(n-1, i, v[i])), concat(concat(v, vector(n-1, i, v[i])), vector(n-1, i, v[i]))); L=concat(L, [length(v)])); a(n)=L[n]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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