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 A341898 Numbers that are the sum of five fourth powers in exactly ten ways. 6
 954979, 1205539, 1574850, 1713859, 1863859, 1877394, 1882579, 2071939, 2109730, 2225859, 2288179, 2419954, 2492434, 2495939, 2605314, 2711394, 2784499, 2835939, 2847394, 2880994, 2924674, 3007474, 3061939, 3071379, 3074179, 3117235, 3127219, 3174834, 3190899 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Differs at term 5 because 1801459 = 1^4 + 4^4 + 5^4 + 28^4 + 33^4 = 1^4 + 4^4 + 12^4 + 23^4 + 35^4 = 1^4 + 7^4 + 16^4 + 30^4 + 31^4 = 1^4 + 16^4 + 18^4 + 19^4 + 35^4 = 3^4 + 6^4 + 18^4 + 21^4 + 35^4 = 5^4 + 7^4 + 19^4 + 24^4 + 34^4 = 5^4 + 9^4 + 14^4 + 29^4 + 32^4 = 7^4 + 9^4 + 16^4 + 25^4 + 34^4 = 7^4 + 14^4 + 16^4 + 21^4 + 35^4 = 8^4 + 9^4 + 20^4 + 29^4 + 31^4 = 10^4 + 19^4 + 19^4 + 21^4 + 34^4. LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..10000 EXAMPLE 954979 = 1^4 + 2^4 + 11^4 + 19^4 + 30^4 = 1^4 + 7^4 + 18^4 + 25^4 + 26^4 = 3^4 + 8^4 + 17^4 + 20^4 + 29^4 = 4^4 + 8^4 + 13^4 + 25^4 + 27^4 = 4^4 + 9^4 + 10^4 + 11^4 + 31^4 = 6^4 + 6^4 + 15^4 + 21^4 + 29^4 = 7^4 + 10^4 + 18^4 + 19^4 + 29^4 = 11^4 + 11^4 + 20^4 + 22^4 + 27^4 = 16^4 + 17^4 + 17^4 + 24^4 + 25^4 = 18^4 + 19^4 + 20^4 + 23^4 + 23^4 so 954979 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 == 10]) for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A341892, A341897, A344929, A345188, A345822. Sequence in context: A251911 A224593 A341897 * A092377 A348123 A022236 Adjacent sequences: A341895 A341896 A341897 * A341899 A341900 A341901 KEYWORD nonn AUTHOR David Consiglio, Jr., Jun 04 2021 STATUS approved

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Last modified August 15 04:20 EDT 2024. Contains 375172 sequences. (Running on oeis4.)