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A013189 All terms are squares and a(n) is length of n-th run. +0
1
1, 4, 4, 4, 4, 9, 9, 9, 9, 16, 16, 16, 16, 25, 25, 25, 25, 36, 36, 36, 36, 36, 36, 36, 36, 36, 49, 49, 49, 49, 49, 49, 49, 49, 49, 64, 64, 64, 64, 64, 64, 64, 64, 64, 81, 81, 81, 81, 81, 81, 81, 81, 81, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 (list; graph; listen)
OFFSET

1,2

COMMENT

Golomb's sequence using squares. - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 20 2003

FORMULA

n-th term, divided by n, tends to square root of two.

MATHEMATICA

f[s_] := Join@@Table[i^2, {i, Length[s]}, {s[[i]]}]; Nest[f, {1, 4}, 3]

CROSSREFS

Cf. A001462, A080605, A080606, A080607.

Sequence in context: A114555 A124570 A053187 this_sequence A035621 A046109 A107680

Adjacent sequences: A013186 A013187 A013188 this_sequence A013190 A013191 A013192

KEYWORD

nonn,easy

AUTHOR

Jim Propp (propp(AT)math.wisc.edu)

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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