Triangle of numbers related to the spectrum of the hydrogen (H) atom.

Terms

a(0) =3a(1) =32a(2) =5a(3) =135a(4) =27a(5) =7a(6) =3456a(7) =756a(8) =256a(9) =81a(10) =3500a(11) =800a(12) =300a(13) =125a(14) =44a(15) =172800a(16) =40500a(17) =16000a(18) =7425a(19) =3456a(20) =1300a(21) =694575a(22) =165375a(23) =67375a(24) =33075a(25) =17199a(26) =8575a(27) =3375a(28) =6272000a(29) =1509200