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 A344242 Numbers that are the sum of four fourth powers in exactly three ways. 7
 16578, 43234, 49329, 53218, 54978, 57154, 93393, 106354, 107649, 108754, 138258, 151219, 160434, 168963, 173539, 177699, 178738, 181138, 183603, 185298, 195378, 195859, 196418, 197154, 197778, 201683, 202419, 209763, 211249, 216594, 217138, 223074, 234274, 235554, 235569, 237249, 237699, 240834 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Differs from A344241 at term 36 because 236674 = 1^4 + 2^4 + 7^4 + 22^4 = 3^4 + 6^4 + 18^4 + 19^4 = 7^4 + 14^4 + 16^4 + 19^4 = 8^4 + 16^4 + 17^4 + 17^4 LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..20000 EXAMPLE 49329 is a member of this sequence because 49329 = 2^4 + 2^4 + 12^4 + 13^4 = 4^4 + 8^4 + 9^4 + 14^4 = 6^4 + 9^4 + 12^4 + 12^4 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, 50)] for pos in cwr(power_terms, 4): 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. A025405, A344193, A344240, A344241, A344244, A344353. Sequence in context: A234894 A283028 A344241 * A234374 A234380 A234381 Adjacent sequences: A344239 A344240 A344241 * A344243 A344244 A344245 KEYWORD nonn AUTHOR David Consiglio, Jr., May 12 2021 STATUS approved

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Last modified September 24 22:14 EDT 2023. Contains 365582 sequences. (Running on oeis4.)