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 parts of p.

A241829

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 parts of p.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =10a(7) =12a(8) =19a(9) =24a(10) =35a(11) =44a(12) =63a(13) =79a(14) =108a(15) =139a(16) =185a(17) =234a(18) =309a(19) =389a(20) =503a(21) =632a(22) =806a(23) =1005a(24) =1273a(25) =1576a(26) =1973a(27) =2436a(28) =3025a(29) =3710

External references