Number of partitions of n in which no part appears more than twice and no two parts differ by 1.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =3a(6) =5a(7) =5a(8) =8a(9) =8a(10) =12a(11) =12a(12) =19a(13) =19a(14) =27a(15) =28a(16) =39a(17) =41a(18) =55a(19) =58a(20) =77a(21) =82a(22) =106a(23) =113a(24) =145a(25) =156a(26) =196a(27) =210a(28) =262a(29) =283