A340662 a(n) is the end of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).

4, 49, 196, 484, 1681, 4900, 12100, 19600, 32761, 73984, 148225, 175561, 328329, 492804, 753424, 1258884, 1860496, 2405601, 3374569, 4330561, 5929225, 8363664, 11088900, 13823524, 18190225, 23639044, 28933641, 36264484, 43612816, 53582400, 67914081, 81180100, 97970404

Offset

1,1

Links

Table of n, a(n) for n=1..33.

Formula

a(n) = A340664(n)^2 = A340663(n)^2 + (n - 1)*(2*A340663(n) + n - 1).

Example

See A340661.

Crossrefs

Cf. A000290, A001597, A111245, A340661, A340663, A340664, A340695.

Sequence in context: A016874 A360883 A092866 * A041065 A166838 A166826

Adjacent sequences: A340659 A340660 A340661 * A340663 A340664 A340665

Keyword

nonn

Author

Hugo Pfoertner, Jan 18 2021

Status

approved