Number of distinct (unordered) pairs of partitions of a 12-element set that have Rand distance n.

Terms

a(0) =7654350a(1) =40209840a(2) =156637140a(3) =576841320a(4) =1851589872a(5) =5544758076a(6) =14686598520a(7) =35723706480a(8) =75818872580a(9) =144536922420a(10) =242305860072a(11) =370664737190a(12) =506699655660a(13) =643405035240a(14) =746030515164a(15) =812426918688a(16) =833352979140a(17) =795923308950a(18) =741556189440a(19) =644098507272a(20) =547387431756a(21) =444670121610a(22) =349922192400a(23) =268690544925a(24) =197063378424a(25) =147497181678a(26) =99290917440a(27) =73672276095a(28) =45746253960a(29) =32550841950