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A205883 Length of n-th run of A205600(n). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..71.

Benoit Cloitre, Plot of a(n)/n^2

FORMULA

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)

PROG

(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]

CROSSREFS

Sequence in context: A280918 A081225 A164140 * A253108 A198201 A281989

Adjacent sequences:  A205880 A205881 A205882 * A205884 A205885 A205886

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jan 10 2013

STATUS

approved

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Last modified September 19 07:24 EDT 2020. Contains 337178 sequences. (Running on oeis4.)