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 A345721 Numbers that are the sum of six fifth powers in seven or more ways. 6
 1184966816, 1700336000, 1717860100, 1972000800, 2229475325, 2295937600, 2396275200, 2548597632, 2625460992, 2886251808, 3217068800, 3697267200, 3729261536, 3765398725, 4046532448, 4165116967, 4246566632, 4286704224, 4335900525, 4489548050 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Sean A. Irvine, Table of n, a(n) for n = 1..4091 EXAMPLE 1700336000 is a term because 1700336000 = 4^5 + 17^5 + 31^5 + 37^5 + 43^5 + 68^5 = 6^5 + 9^5 + 10^5 + 23^5 + 60^5 + 62^5 = 6^5 + 14^5 + 16^5 + 50^5 + 50^5 + 64^5 = 7^5 + 25^5 + 30^5 + 54^5 + 56^5 + 58^5 = 8^5 + 21^5 + 23^5 + 27^5 + 57^5 + 64^5 = 9^5 + 21^5 + 22^5 + 29^5 + 53^5 + 66^5 = 13^5 + 32^5 + 35^5 + 38^5 + 45^5 + 67^5. 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, 6):     tot = sum(pos)     keep[tot] += 1     rets = sorted([k for k, v in keep.items() if v >= 7])     for x in range(len(rets)):         print(rets[x]) CROSSREFS Cf. A345564, A345629, A345720, A345722, A346362. Sequence in context: A115173 A166735 A104933 * A346362 A119333 A309227 Adjacent sequences:  A345718 A345719 A345720 * A345722 A345723 A345724 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 24 2021 STATUS approved

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Last modified December 2 14:48 EST 2021. Contains 349445 sequences. (Running on oeis4.)