|
%I #10 Dec 12 2022 01:29:58
%S 55,844,16652,844529772,243636414,36289272509
%N a(n) is the smallest number k such that n consecutive integers starting at k have the same number of n-gonal divisors.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Number</a>
%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>
%e 16652 has 2 pentagonal divisors {1, 92}, 16653 has 2 pentagonal divisors {1, 5551}, 16654 has 2 pentagonal divisors {1, 22}, 16655 has 2 pentagonal divisors {1, 5}, and 16656 has 2 pentagonal divisors {1, 12}. These are the first 5 consecutive numbers with the same number of pentagonal divisors, so a(5) = 16652.
%Y Cf. A006558, A338628, A358044.
%K nonn,more,hard
%O 3,1
%A _Ilya Gutkovskiy_, Nov 24 2022
%E a(6)-a(8) from _Martin Ehrenstein_, Dec 04 2022
|
