cp's OEIS Frontend

A387099 Numbers that can be written in exactly five 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 A387099 #14 Aug 26 2025 00:38:47
%S A387099 5260225,7923882,11054875,11224211,11870046,15466174,16859617,
%T A387099 16911017,17276523,17326946,18664520,18668302,18908170,19375153,
%U A387099 19706896,19854394,20050965,20757873,21468249,24723272,26689657,26925803,26974782,27214122,27336893,28055974
%N A387099 Numbers that can be written in exactly five 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.
%H A387099 David A. Corneth, <a href="/A387099/b387099.txt">Table of n, a(n) for n = 1..152</a>
%e A387099 5260225 = 2^22 + 3^8 + 4^5 + 5^2 + 7^7 + 8^3 + 22^4
%e A387099         = 2^21 + 3^8 + 4^10 + 7^3 + 8^7 + 10^4 + 21^2
%e A387099         = 2^7 + 3^14 + 4^5 + 5^8 + 6^6 + 7^3 + 8^2 + 14^4
%e A387099         = 2^15 + 3^10 + 4^9 + 5^5 + 6^4 + 7^6 + 9^7 + 10^3 + 15^2
%e A387099         = 2^11 + 3^7 + 4^10 + 5^9 + 6^8 + 7^3 + 8^5 + 9^6 + 10^4 + 11^2.
%e A387099 7923882 = 2^8 + 3^5 + 4^11 + 5^9 + 6^3 + 8^4 + 9^2 + 11^6
%e A387099         = 2^12 + 3^9 + 4^5 + 5^6 + 6^2 + 7^8 + 8^7 + 9^3 + 12^4
%e A387099         = 2^14 + 3^13 + 4^4 + 5^5 + 6^7 + 7^8 + 8^6 + 13^2 + 14^3
%e A387099         = 2^18 + 3^14 + 4^6 + 5^9 + 6^3 + 7^7 + 9^5 + 14^4 + 18^2
%e A387099         = 2^19 + 3^14 + 4^8 + 5^9 + 6^6 + 8^2 + 9^4 + 14^5 + 19^3.
%e A387099 11054875 = 2^3 + 3^6 + 4^10 + 5^5 + 6^2 + 7^4 + 10^7
%e A387099          = 2^15 + 3^8 + 4^6 + 5^2 + 6^9 + 7^7 + 8^3 + 9^5 + 15^4
%e A387099          = 2^22 + 3^12 + 4^2 + 5^6 + 6^7 + 7^8 + 8^5 + 12^3 + 22^4
%e A387099          = 2^9 + 3^13 + 4^10 + 5^3 + 6^5 + 7^8 + 8^7 + 9^6 + 10^4 + 13^2
%e A387099          = 2^11 + 3^12 + 4^8 + 5^7 + 6^9 + 7^6 + 8^3 + 9^2 + 11^5 + 12^4.
%Y A387099 Cf. A385969, A386968.
%K A387099 nonn,new
%O A387099 1,1
%A A387099 _David A. Corneth_, Aug 16 2025