A343989 Numbers that are the sum of five positive cubes in five or more ways.
1765, 1980, 2043, 2104, 2195, 2250, 2430, 2449, 2486, 2491, 2493, 2547, 2584, 2592, 2738, 2745, 2764, 2817, 2888, 2915, 2953, 2969, 2979, 3095, 3096, 3133, 3142, 3186, 3188, 3214, 3240, 3249, 3275, 3277, 3310, 3312, 3366, 3403, 3422, 3459, 3464, 3466, 3483, 3492, 3520, 3529, 3583, 3608, 3627, 3653, 3664, 3671
Offset: 1
Keywords
Examples
2043 = 1^3 + 4^3 + 5^3 + 5^3 + 12^3
= 2^3 + 2^3 + 3^3 + 10^3 + 10^3
= 2^3 + 3^3 + 4^3 + 6^3 + 12^3
= 4^3 + 5^3 + 5^3 + 9^3 + 10^3
= 4^3 + 6^3 + 6^3 + 6^3 + 11^3
so 2043 is a term.
Links
- David Consiglio, Jr., Table of n, a(n) for n = 1..20000
Programs
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Python
from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**3 for x in range(1,50)] for pos in cwr(power_terms,5): tot = sum(pos) keep[tot] += 1 rets = sorted([k for k,v in keep.items() if v >= 5]) for x in range(len(rets)): print(rets[x])