Number of integer partitions of n with at least one pair of consecutive divisible parts.

Terms

a(0) =0a(1) =0a(2) =1a(3) =2a(4) =4a(5) =5a(6) =10a(7) =12a(8) =20a(9) =26a(10) =38a(11) =51a(12) =73a(13) =92a(14) =126a(15) =166a(16) =219a(17) =283a(18) =369a(19) =470a(20) =604a(21) =763a(22) =968a(23) =1217a(24) =1534a(25) =1907a(26) =2376a(27) =2944a(28) =3640a(29) =4476