A345620 Numbers that are the sum of nine fifth powers in three or more ways.

52418, 52449, 52660, 53441, 54519, 54550, 54761, 55542, 55690, 57643, 60193, 62294, 69224, 69635, 69666, 69877, 70658, 70955, 70986, 71197, 71325, 71978, 72759, 73001, 74079, 76031, 77410, 78730, 84162, 84459, 84490, 84521, 84701, 84732, 84943, 85185, 85482

Offset

1,1

Links

Sean A. Irvine, Table of n, a(n) for n = 1..10000

Example

52449 is a term because 52449 = 1^5 + 2^5 + 4^5 + 4^5 + 4^5 + 4^5 + 6^5 + 6^5 + 8^5 = 2^5 + 3^5 + 3^5 + 3^5 + 3^5 + 4^5 + 7^5 + 7^5 + 7^5 = 2^5 + 3^5 + 3^5 + 3^5 + 3^5 + 5^5 + 6^5 + 6^5 + 8^5.

Prog

(Python)
from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**5 for x in range(1, 1000)]
for pos in cwr(power_terms, 9):
    tot = sum(pos)
    keep[tot] += 1
    rets = sorted([k for k, v in keep.items() if v >= 3])
    for x in range(len(rets)):
        print(rets[x])

Crossrefs

Cf. A345587, A345611, A345619, A345621, A345635, A346338.

Sequence in context: A107654 A345611 A346328 * A346338 A015359 A263123

Adjacent sequences: A345617 A345618 A345619 * A345621 A345622 A345623

Keyword

nonn

Author

David Consiglio, Jr., Jun 20 2021

Status

approved