A242558 a(n) = Sum_{j=0..n} Sum_{i=0..j} L(i)*F(j) where L(i)=A000032(i) and F(j)=A000045(j).

0, 3, 9, 29, 80, 220, 588, 1563, 4125, 10857, 28512, 74792, 196040, 513619, 1345281, 3522981, 9224880, 24153636, 63239220, 165569195, 433476725, 1134874513, 2971168704, 7778667024, 20364889680, 53316094755, 139583544633, 365434781933

Offset

0,2

Links

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (4,-2,-6,4,2,-1).

Formula

a(n) = A001519(n+2) - A000045(n+2) - A059841(n).

G.f.: -x*(-3+3*x+x^2) / ( (x-1)*(1+x)*(x^2-3*x+1)*(x^2+x-1) ). - R. J. Mathar, May 17 2014

Example

For n=5, a(n) = F(2*5+3) - F(5+2) - 0 = 233 - 13 = 220.

Mathematica

LinearRecurrence[{4, -2, -6, 4, 2, -1}, {0, 3, 9, 29, 80, 220}, 30] (* Harvey P. Dale, Aug 15 2016 *)

Crossrefs

Cf. A190173, A000045, A000032, A242300, A242496.

Sequence in context: A161590 A192245 A338645 * A018361 A351797 A134325

Adjacent sequences: A242555 A242556 A242557 * A242559 A242560 A242561

Keyword

nonn,easy

Author

J. M. Bergot, May 17 2014

Status

approved