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 A341891 Numbers that are the sum of five fourth powers in nine or more ways. 7
 619090, 775714, 954979, 1100579, 1179379, 1186834, 1205539, 1243699, 1357315, 1367539, 1373859, 1422595, 1431234, 1436419, 1511299, 1536019, 1574850, 1699234, 1713859, 1734899, 1801459, 1839874, 1858594, 1863859, 1877394, 1880850, 1882579, 1950355, 1951650 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..10000 EXAMPLE 619090 = 1^4 + 2^4 + 18^4 + 22^4 + 23^4 = 1^4 + 3^4 + 4^4 + 8^4 + 28^4 = 1^4 + 11^4 + 14^4 + 22^4 + 24^4 = 2^4 + 2^4 + 8^4 + 17^4 + 27^4 = 2^4 + 13^4 + 13^4 + 18^4 + 26^4 = 3^4 + 6^4 + 12^4 + 16^4 + 27^4 = 4^4 + 12^4 + 14^4 + 23^4 + 23^4 = 9^4 + 12^4 + 16^4 + 21^4 + 24^4 = 14^4 + 16^4 + 18^4 + 19^4 + 23^4 so 619090 is a term. PROG (Python) from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**4 for x in range(1, 1000)] for pos in cwr(power_terms, 5): tot = sum(pos) keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v >= 9]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A341892, A341897, A344926, A344944, A345185, A345566. Sequence in context: A254802 A254809 A253818 * A341892 A236064 A204052 Adjacent sequences: A341888 A341889 A341890 * A341892 A341893 A341894 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 04 2021 STATUS approved

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Last modified September 7 13:04 EDT 2024. Contains 375730 sequences. (Running on oeis4.)