Number of s in {1,...,n}^n having shortest run with the same value of length 5.

Terms

a(0) =5a(1) =0a(2) =0a(3) =0a(4) =0a(5) =90a(6) =220a(7) =264a(8) =312a(9) =364a(10) =3360a(11) =11280a(12) =26656a(13) =47430a(14) =74556a(15) =246240a(16) =824040a(17) =2242086a(18) =5166260a(19) =10272168a(20) =26698800a(21) =81381300a(22) =233188956a(23) =593255880a(24) =1353111928a(25) =3416572650a(26) =9872919060a(27) =28825911968a(28) =78295457856a(29) =194146795920