A328089 Numbers k such that k+1 concatenated with k is a square.

81, 8241, 9801, 538276, 998001, 77837025, 99980001, 7922547264, 8643251344, 9223797609, 9999800001, 106710893289, 453378226756, 491023832064, 945958034529, 999998000001, 11916002265169, 15790977390244, 24917378001936, 25082758752025, 36315251812569

Offset

1,1

References

Luca, Florian, and Pantelimon Stănică. "Perfect Squares as Concatenation of Consecutive Integers." The American Mathematical Monthly 126.8 (2019): 728-734.

Links

Table of n, a(n) for n=1..21.

Crossrefs

A companion to A054214, A054215, A054216.

Sequence in context: A046172 A123847 A115443 * A186527 A178511 A184337

Adjacent sequences: A328086 A328087 A328088 * A328090 A328091 A328092

Keyword

nonn,base

Author

N. J. A. Sloane, Oct 17 2019

Status

approved