Triangle interpolating the swinging factorial (A056040) restricted to even indices with its binomial transform. Same as interpolating bilateral Schroeder paths (A026375) with the central binomial coefficients (A000984).

A163841

Triangle interpolating the swinging factorial (A056040) restricted to even indices with its binomial transform. Same as interpolating bilateral Schroeder paths (A026375) with the central binomial coefficients (A000984).

Terms

    a(0) =1a(1) =3a(2) =2a(3) =11a(4) =8a(5) =6a(6) =45a(7) =34a(8) =26a(9) =20a(10) =195a(11) =150a(12) =116a(13) =90a(14) =70a(15) =873a(16) =678a(17) =528a(18) =412a(19) =322a(20) =252a(21) =3989a(22) =3116a(23) =2438a(24) =1910a(25) =1498a(26) =1176a(27) =924a(28) =18483a(29) =14494

External references