A340663 a(n)^2 is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).

2, 6, 12, 19, 37, 65, 104, 133, 173, 263, 375, 408, 561, 689, 854, 1107, 1348, 1534, 1819, 2062, 2415, 2871, 3308, 3695, 4241, 4837, 5353, 5995, 6576, 7291, 8211, 8979, 9866, 10880, 11995, 12934, 14113, 15326, 16572, 17889, 19159, 20663, 22289, 23869, 25750, 27361

Offset

1,1

Links

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

Formula

a(n) = sqrt(A340661(n)).

Example

See A340661.

Crossrefs

Cf. A000290, A001597, A111245, A340661, A340662, A340664, A340695.

Sequence in context: A299016 A347472 A033154 * A354759 A139084 A086958

Adjacent sequences: A340660 A340661 A340662 * A340664 A340665 A340666

Keyword

nonn

Author

Hugo Pfoertner, Jan 18 2021

Status

approved