Number of excursions of length n with Motzkin-steps forbidding all consecutive steps of length 2 except UH, HU, HD and DH.

A329686

Number of excursions of length n with Motzkin-steps forbidding all consecutive steps of length 2 except UH, HU, HD and DH.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =1a(6) =0a(7) =2a(8) =4a(9) =2a(10) =0a(11) =5a(12) =10a(13) =5a(14) =0a(15) =14a(16) =28a(17) =14a(18) =0a(19) =42a(20) =84a(21) =42a(22) =0a(23) =132a(24) =264a(25) =132a(26) =0a(27) =429a(28) =858a(29) =429

External references