Total length squared of longest runs of 1's in all bitstrings of length n.

Terms

a(0) =1a(1) =6a(2) =21a(3) =61a(4) =158a(5) =386a(6) =902a(7) =2051a(8) =4565a(9) =10006a(10) =21668a(11) =46484a(12) =98958a(13) =209360a(14) =440627a(15) =923299a(16) =1927456a(17) =4010730a(18) =8322242a(19) =17226050a(20) =35578192a(21) =73339778a(22) =150918130a(23) =310073773a(24) =636173403a(25) =1303554560a(26) =2667935114a(27) =5454522188a(28) =11140674850a(29) =22733861902