A077725 a(n) = smallest square > 1 which can be expressed as a sum of distinct powers of n.

4, 4, 4, 25, 36, 49, 9, 9, 100, 121, 144, 169, 196, 16, 16, 289, 324, 361, 400, 441, 484, 529, 25, 25, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 36, 36, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 49, 49, 2500, 2601, 2704, 2809, 2916

Offset

2,1

Comments

a(n) = smallest square whose base n representation contains only 0's and 1's.

Links

Table of n, a(n) for n=2..54.

Formula

a(1) = 4, a(k^2-1) = a(k^2) = k^2, a(n) = n^2 otherwise. - Charlie Neder, Mar 08 2019

Crossrefs

Cf. A077724.

Sequence in context: A024949 A362374 A059812 * A217940 A353000 A372020

Adjacent sequences: A077722 A077723 A077724 * A077726 A077727 A077728

Keyword

nonn

Author

Amarnath Murthy, Nov 19 2002

Extensions

Corrected and extended by Ray Chandler, Sep 04 2003

Status

approved