A213766 Principal diagonal of the convolution array A213765.

1, 5, 24, 83, 263, 776, 2201, 6077, 16488, 44211, 117615, 311232, 820641, 2158645, 5669096, 14872483, 38989367, 102165928, 267628569, 700924525, 1835493016, 4806144675, 12583939679, 32947361088, 86260987393, 225840387941

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-6,-3,6,1,-1).

Formula

a(n) = 5*a(n-1) - 6*a(n-2) - 3*a(n-3) + 6*a(n-4) + a(n-5) - a(n-6).

G.f.: f(x)/g(x), where f(x) = x*(1 + 5*x - 10*x^2) and g(x) = (1 - 3*x + 2*x^2 )^2.

Mathematica

(See A213765.)

Crossrefs

Cf. A213765, A213500.

Sequence in context: A274723 A006328 A390534 * A000347 A270906 A268587

Adjacent sequences: A213763 A213764 A213765 * A213767 A213768 A213769

Keyword

nonn,easy

Author

Clark Kimberling, Jun 21 2012

Status

approved