The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A343704 Numbers that are the sum of five positive cubes in three or more ways. 8
 766, 810, 827, 829, 865, 883, 981, 1018, 1025, 1044, 1070, 1105, 1108, 1142, 1145, 1161, 1168, 1226, 1233, 1252, 1259, 1289, 1350, 1368, 1376, 1424, 1431, 1439, 1441, 1457, 1461, 1487, 1492, 1494, 1522, 1529, 1531, 1538, 1548, 1550, 1555, 1568, 1583, 1585, 1587, 1590, 1592, 1593, 1594, 1609, 1611, 1613, 1639 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence differs from A343705 at term 20 because 1252 = 1^3+1^3+5^3+5^3+10^3= 1^3+2^3+3^3+6^3+10^3 = 3^3+3^3+7^3+7^3+8^3 = 3^3+4^3+6^3+6^3+9^3. Thus this term is in this sequence but not A343705. LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..10000 EXAMPLE 827 is a member of this sequence because 827 = 1^3 + 4^3 + 5^3 + 5^3 + 8^3 = 2^3 + 2^3 + 5^3 + 7^3 + 7^3 = 2^3 + 3^3 + 4^3 + 6^3 + 8^3. MATHEMATICA Select[Range@2000, Length@Select[PowersRepresentations[#, 5, 3], FreeQ[#, 0]&]>2&] (* Giorgos Kalogeropoulos, Apr 26 2021 *) PROG from itertools import combinations_with_replacement as cwr from collections import defaultdict keep = defaultdict(lambda: 0) power_terms = [x**3 for x in range(1, 50)]#n for pos in cwr(power_terms, 5):#m tot = sum(pos) keep[tot] += 1 rets = sorted([k for k, v in keep.items() if v >= 3])#s for x in range(len(rets)): print(rets[x]) CROSSREFS Cf. A025407, A343702, A343705, A344034, A344243, A344796, A345512. Sequence in context: A319741 A329757 A127206 * A343705 A247486 A125109 Adjacent sequences: A343701 A343702 A343703 * A343705 A343706 A343707 KEYWORD nonn,easy AUTHOR David Consiglio, Jr., Apr 26 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 31 17:49 EST 2023. Contains 359980 sequences. (Running on oeis4.)