A016085 - OEIS

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A016085

a(1) = 1; a(n+1) = floor((sum{k=1 to n} a(k)^3)^(1/3)).

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 14, 17, 21, 27, 34, 42, 53, 67, 84, 106, 133, 167, 211, 265, 334, 421, 530, 668, 841, 1060, 1335, 1682, 2119, 2670, 3364, 4238, 5339, 6727, 8475, 10678, 13453, 16950, 21355, 26906, 33899, 42710, 53811

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OFFSET

1,9

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

a(10) = floor((1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 2^3)^(1/3)) = floor(16^(1/3)) = 2.

MATHEMATICA

a[1] = 1; a[n_] := a[n] = Floor[ Sum[ a[k]^3, {k, 1, n - 1}]^(1/3)]; Table[ a[n], {n, 1, 56} ]

CROSSREFS

Sequence in context: A136421 A274159 A239905 * A018122 A074732 A089046

Adjacent sequences: A016082 A016083 A016084 * A016086 A016087 A016088