Number of 3-Carlitz compositions of n (or, more generally p-Carlitz compositions, p > 1), i.e., words b_1^{i_1}b_2^{i_2}...b_k^{i_k} such that the b_j's and i_j's are positive integers for which Sum_{j=1..k} i_j * b_j = n and, for all j, i_j < p and if b_j = b_(j+1) then i_j + i_(j+1) is not equal to p.
A129922
Number of 3-Carlitz compositions of n (or, more generally p-Carlitz compositions, p > 1), i.e., words b_1^{i_1}b_2^{i_2}...b_k^{i_k} such that the b_j's and i_j's are positive integers for which Sum_{j=1..k} i_j * b_j = n and, for all j, i_j < p and if b_j = b_(j+1) then i_j + i_(j+1) is not equal to p.
Terms
- a(0) =1a(1) =1a(2) =3a(3) =4a(4) =12a(5) =22a(6) =51a(7) =101a(8) =225a(9) =465a(10) =1008a(11) =2111a(12) =4528a(13) =9560a(14) =20402a(15) =43222a(16) =92018a(17) =195256a(18) =415243a(19) =881758a(20) =1874288a(21) =3981318a(22) =8460906a(23) =17975132a(24) =38196045a(25) =81152769a(26) =172436680a(27) =366376845a(28) =778476016a(29) =1654054258
External references
- oeis: A129922