cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A384708 a(n) is the smallest integer k such that k is the sum of exactly n distinct permutations of k, all having the same number of digits as k.

This page as a plain text file.
%I A384708 #20 Jun 19 2025 17:02:03
%S A384708 1,954,4617,5112,8136,67104,76011,90216,910107
%N A384708 a(n) is the smallest integer k such that k is the sum of exactly n distinct permutations of k, all having the same number of digits as k.
%C A384708 There is no such k exists for n >= 10, since the sum of 10 or more distinct permutations of any integer k, with the same number of digits of k, will always be greater than k itself.
%e A384708 a(1) = 1, since 1 = 1.
%e A384708 a(2) = 954, since 954 = 459 + 495.
%e A384708 a(3) = 4617, since 4617 = 1467 + 1476 + 1674.
%e A384708 a(4) = 5112, since 5112 = 1125 + 1215 + 1251 + 1521.
%e A384708 a(5) = 8136, since 8136 = 1368 + 1386 + 1683 + 1836 + 1863.
%e A384708 a(6) = 67104, since 67104 = 10467 + 10476 + 10647 + 10674 + 10764 + 14076.
%e A384708 a(7) = 76011, since 76011 = 10167 + 10176 + 10617 + 10671 + 11067 + 11607 + 11706.
%e A384708 a(8) = 90216, since 90216 = 10269 + 10296 + 10629 + 10692 + 10962 + 12069 + 12609 + 12690.
%e A384708 a(9) = 910107, since 910107 = 100179 + 100197 + 100917 + 100971 + 101079 + 101097 + 101790 + 101907 + 101970. - _David A. Corneth_, Jun 12 2025
%Y A384708 Subsequence of A384433.
%Y A384708 Cf. A055098.
%K A384708 nonn,base,fini,full
%O A384708 1,2
%A A384708 _Gonzalo Martínez_, Jun 07 2025
%E A384708 a(9) from _David A. Corneth_, Jun 12 2025