Number of integer partitions of n with superdiagonal run-lengths.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =4a(6) =8a(7) =8a(8) =13a(9) =14a(10) =21a(11) =22a(12) =33a(13) =36a(14) =50a(15) =55a(16) =76a(17) =84a(18) =110a(19) =123a(20) =157a(21) =177a(22) =223a(23) =246a(24) =309a(25) =344a(26) =422a(27) =475a(28) =574a(29) =640