A391670 Numbers of the form h^i + k^j where h,i,j,k are distinct positive integers and max{h,i,j,k} - min{h,i,j,k} = 3.

9, 10, 12, 13, 17, 19, 65, 66, 82, 83, 89, 96, 106, 113, 141, 259, 633, 634, 841, 1032, 1033, 1240, 1354, 1421, 1539, 1753, 4221, 4339, 7840, 7857, 10177, 15689, 15706, 18026, 18103, 20903, 24160, 32009, 79421, 82221, 118274, 118673, 150417, 278951, 280561, 280960, 312704, 340269

Offset

1,1

Comments

The name implies that h, i, j, k are 4 consecutive integers in some order.

Links

Table of n, a(n) for n=1..48.

Example

a(1) = 1^4 + 2^3 = 9, a(2) = 1^4 + 3^2 = 10, a(3) = 4^1 + 2^3 = 12,
a(19) = 6^3 + 5^4 = 841, a(20) = 2^3 + 4^5 = 1032.

Crossrefs

Cf. A007778, A008788, A008789, A000169, A000272, A007830.

Sequence in context: A031166 A202706 A104627 * A188057 A119956 A059102

Adjacent sequences: A391667 A391668 A391669 * A391671 A391672 A391673

Keyword

nonn

Author

Dwight Boddorf, Dec 16 2025

Status

approved