A360306 - OEIS

%I #15 Feb 11 2023 08:09:42

%S 1,635318657,811538,300834,185299,138595,143651,154292,197748,225733,

%T 291269,374790,474071,586056,715192,857513,1057689,1330554,1602250,

%U 1919146,2329547,2786843,3246204,3899260,4642700,5378141,6377822,7342638,8527103,9787839,11241455,12978656

%N a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero fourth powers in exactly n ways, or -1 if no such integer exists.

%H Bert Dobbelaere, <a href="/A360306/b360306.txt">Table of n, a(n) for n = 1..79</a>

%H Bert Dobbelaere, <a href="/A360306/a360306.cpp.txt">C++ program</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number</a>

%e For n = 2: 635318657 = 59^4 + 158^4 = 133^4 + 134^4.

%e For n = 3: 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4.

%e For n = 4: 300834 = 1^4 + 4^4 + 12^4 + 23^4 = 1^4 + 16^4 + 18^4 + 19^4 = 3^4 + 6^4 + 18^4 + 21^4 = 7^4 + 14^4 + 16^4 + 21^4.

%Y Cf. A000583, A146756, A350241, A350270.

%K nonn

%O 1,2

%A _Ilya Gutkovskiy_, Feb 02 2023

%E a(18)-a(19) from _Michael S. Branicky_, Feb 04 2023

%E More terms from _Bert Dobbelaere_, Feb 11 2023