A038237 Second line of 4-wave sequence A038197.

1, 3, 7, 26, 56, 216, 462, 1791, 3828, 14849, 31735, 123111, 263108, 1020696, 2181389, 8462447, 18085587, 70160958, 149945056, 581694636, 1243173370, 4822748423, 10306975580, 39984728949, 85453685055, 331507764639, 708484485384, 2748484256480, 5873945233705

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..700

F. v. Lamoen, Wave sequences

Index entries for linear recurrences with constant coefficients, signature (0,10,0,-15,0,7,0,-1).

Formula

G.f.: (x^5+x^4-4*x^3-3*x^2+3*x+1)/(x^8-7*x^6+15*x^4-10*x^2+1). - Alois P. Heinz, Jul 16 2009

Maple

a:= n-> (Matrix([[26, 7, 3, 1, 0, 0, -1, -1]]). Matrix(8, (i, j)-> if i=j-1 then 1 elif j=1 then [0, 10, 0, -15, 0, 7, 0, -1][i] else 0 fi)^n)[1, 4]: seq (a(n), n=0..30);  # Alois P. Heinz, Jul 16 2009

Crossrefs

Sequence in context: A065163 A292925 A057124 * A296852 A208979 A148740

Adjacent sequences: A038234 A038235 A038236 * A038238 A038239 A038240

Keyword

nonn,easy

Author

Floor van Lamoen

Status

approved