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 A344359 Numbers that are the sum of five fourth powers in exactly five ways. 8
 59779, 67859, 93394, 108274, 112850, 136915, 142354, 151475, 161459, 168979, 181219, 183539, 183604, 185299, 187699, 189394, 193379, 195394, 199090, 199474, 200979, 201874, 202979, 203299, 205859, 211330, 212419, 213730, 217810, 217890, 221779, 223090, 223155, 223714, 226514, 227779, 231235 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Differs from A344358 at term 8 because 151300 = 3^4 + 3^4 + 3^4 + 12^4 + 19^4 = 3^4 + 11^4 + 11^4 + 14^4 + 17^4 = 3^4 + 13^4 + 13^4 + 13^4 + 16^4 = 6^4 + 9^4 + 9^4 + 9^4 + 19^4 = 7^4 + 11^4 + 11^4 + 11^4 + 18^4 = 8^4 + 9^4 + 13^4 + 13^4 + 17^4. LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..20000 EXAMPLE 93394 is a term of this sequence because 93394 = 1^4 + 4^4 + 8^4 + 14^4 + 15^4 = 1^4 + 6^4 + 12^4 + 12^4 + 15^4 = 1^4 + 9^4 + 10^4 + 14^4 + 14^4 = 5^4 + 6^4 + 11^4 + 14^4 + 14^4 = 5^4 + 7^4 + 8^4 + 12^4 + 16^4. 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, 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]) CROSSREFS Cf. A343988, A344355, A344357, A344358, A344941, A345817, A346257. Sequence in context: A031685 A238077 A344358 * A043635 A106774 A189985 Adjacent sequences: A344356 A344357 A344358 * A344360 A344361 A344362 KEYWORD nonn AUTHOR David Consiglio, Jr., May 15 2021 STATUS approved

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Last modified May 23 17:39 EDT 2024. Contains 372765 sequences. (Running on oeis4.)