A332665 a(n) = largest number k that is not the sum of {2 squares, a nonnegative 5th power, and a nonnegative n-th power}.

71, 2543, 146687, 55871, 63703, 353087, 606239, 21073228, 4606428, 19212172, 16301375, 88507864, 228238087, 126691212, 121909855, 366845415, 448525727, 1818767247, 1319413228, 341968924, 673747279, 188739607, 2366756975, 1770393855, 411629407, 1240489516

Offset

3,1

Comments

All terms are conjectural and have only been checked up to 4*10^9.

Links

Table of n, a(n) for n=3..28.

W. Jagy and I. Kaplansky, Sums of Squares, Cubes and Higher Powers, Experimental Mathematics, vol. 4 (1995) pp. 169-173.

Example

a(4) = 2543, since 2543 is the greatest number such that is not the sum of {2 squares, a nonnegative 5th power, and a 4th power} (at least up to 4*10^9).

Crossrefs

Cf. A022566, A111151, A299796.

Sequence in context: A225741 A049295 A017787 * A017734 A263248 A221051

Adjacent sequences: A332662 A332663 A332664 * A332666 A332667 A332668

Keyword

nonn

Author

XU Pingya, Feb 19 2020

Status

approved