Least number k such that k! in binary representation contains a run of exactly n consecutive ones.

Terms

a(0) =1a(1) =3a(2) =7a(3) =5a(4) =10a(5) =12a(6) =33a(7) =38a(8) =47a(9) =39a(10) =67a(11) =37a(12) =120a(13) =71a(14) =189a(15) =568a(16) =119a(17) =411a(18) =952a(19) =909a(20) =1438a(21) =1215a(22) =2107a(23) =3435a(24) =10644a(25) =4390a(26) =19154a(27) =12144a(28) =21458a(29) =27294