Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) <= number of distinct parts of p.

A241819

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) <= number of distinct parts of p.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =9a(7) =11a(8) =17a(9) =20a(10) =30a(11) =37a(12) =50a(13) =64a(14) =84a(15) =106a(16) =141a(17) =178a(18) =224a(19) =290a(20) =368a(21) =457a(22) =574a(23) =722a(24) =894a(25) =1113a(26) =1371a(27) =1693a(28) =2082a(29) =2555

External references