A135332 a(1)=1; for n>1, a(n) = a(n-1) + n^0 if n odd, a(n) = a(n-1) + n^3 if n is even.

1, 9, 10, 74, 75, 291, 292, 804, 805, 1805, 1806, 3534, 3535, 6279, 6280, 10376, 10377, 16209, 16210, 24210, 24211, 34859, 34860, 48684, 48685, 66261, 66262, 88214, 88215, 115215, 115216, 147984, 147985, 187289, 187290, 233946, 233947, 288819

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

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

Formula

From R. J. Mathar, Feb 22 2009: (Start)

a(n) = a(n-1) + 4*a(n-2) - 4*a(n-3) - 6*a(n-4) + 6*a(n-5) + 4*a(n-6) - 4*a(n-7) - a(n-8) + a(n-9).

G.f.: x*(1 + 8*x - 3*x^2 + 32*x^3 + 3*x^4 +8*x^5 -x^6)/((1+x)^4*(1-x)^5). (End)

Mathematica

LinearRecurrence[{1, 4, -4, -6, 6, 4, -4, -1, 1}, {1, 9, 10, 74, 75, 291, 292, 804, 805}, 40] (* Harvey P. Dale, Nov 28 2014 *)

Crossrefs

Cf. A000027, A000217, A000330, A000537, A000538, A000539, A136047, A140113.

Sequence in context: A341527 A167708 A372764 * A098325 A101242 A342615

Adjacent sequences: A135329 A135330 A135331 * A135333 A135334 A135335

Keyword

nonn

Author

Artur Jasinski, May 12 2008

Status

approved