cp's OEIS Frontend

A386967 Numbers that can be written in exactly three different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.

%I A386967 #14 Sep 01 2025 03:11:54
%S A386967 23506,23778,41682,50261,53554,76754,78289,92030,96981,99913,101559,
%T A386967 105885,109094,114097,117538,125943,132867,133116,135697,143154,
%U A386967 150041,158539,160161,197547,198333,204359,225138,225530,265685,269986,277243,280063,286299,291016,295391,306251,312341,313323
%N A386967 Numbers that can be written in exactly three different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.
%e A386967 23506 = 2^9 + 4^7 + 7^2 + 9^4
%e A386967       = 2^3 + 3^4 + 4^2 + 5^6 + 6^5
%e A386967       = 2^4 + 3^8 + 4^5 + 5^6 + 6^3 + 8^2.
%e A386967 23778 = 2^11 + 3^8 + 4^2 + 8^3 + 11^4
%e A386967       = 2^12 + 3^2 + 4^5 + 5^6 + 6^4 + 12^3
%e A386967       = 2^10 + 3^8 + 4^6 + 5^3 + 6^5 + 8^4 + 10^2.
%e A386967 41682 = 2^3 + 3^9 + 4^7 + 5^5 + 7^4 + 9^2
%e A386967       = 2^9 + 3^8 + 4^7 + 5^4 + 7^5 + 8^2 + 9^3
%e A386967       = 2^14 + 3^8 + 4^6 + 5^2 + 6^5 + 8^4 + 14^3.
%Y A386967 Subsequence of A385969.
%Y A386967 Cf. A385232, A385233, A385970, A386966, A386968.
%K A386967 nonn,changed
%O A386967 1,1
%A A386967 _Alberto Zanoni_, Aug 12 2025