A340664 a(n)^2 is the end of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).

2, 7, 14, 22, 41, 70, 110, 140, 181, 272, 385, 419, 573, 702, 868, 1122, 1364, 1551, 1837, 2081, 2435, 2892, 3330, 3718, 4265, 4862, 5379, 6022, 6604, 7320, 8241, 9010, 9898, 10913, 12029, 12969, 14149, 15363, 16610, 17928, 19199, 20704, 22331, 23912, 25794, 27406

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Formula

a(n) = sqrt(A340662(n)) = A340663(n) + n - 1.

Example

See A340661.

Crossrefs

Cf. A000290, A001597, A111245, A340661, A340662, A340663, A340695.

Sequence in context: A369972 A325159 A087324 * A261246 A008865 A227582

Adjacent sequences: A340661 A340662 A340663 * A340665 A340666 A340667

Keyword

nonn

Author

Hugo Pfoertner, Jan 18 2021

Status

approved