Number of integer partitions of n with frequency depth floor(sqrt(n)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =3a(7) =1a(8) =3a(9) =8a(10) =11a(11) =11a(12) =19a(13) =17a(14) =25a(15) =29a(16) =83a(17) =113a(18) =124a(19) =171a(20) =190a(21) =242a(22) =289a(23) =368a(24) =399a(25) =796a(26) =981a(27) =1182a(28) =1442a(29) =1709