A038261 First line of 5-wave sequence A038201, also bisection of A006358.
1, 5, 55, 671, 8272, 102091, 1260143, 15554592, 191998646, 2369942427, 29253473175, 361091343583, 4457144547354, 55016930950608, 679103551405906, 8382540166524150, 103470199055689961, 1277188284212361415
Offset: 0
Links
- F. v. Lamoen, Wave sequences
- Index entries for linear recurrences with constant coefficients, signature (15,-35,28,-9,1).
Programs
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Maple
a:= n-> (Matrix([[5, 1, 1, 2, 5]]). Matrix(5, (i,j)-> if i=j-1 then 1 elif j=1 then [15, -35, 28, -9, 1][i] else 0 fi)^n)[1,2]: seq(a(n), n=0..20); # Alois P. Heinz, Jul 16 2009
Formula
Conjecture: GF = -(x-1)*(x^3-6*x^2+9*x-1) / ( -1+15*x-35*x^2+28*x^3-9*x^4+x^5 ). - Wouter Meeussen, Mar 19 2005