A077830 Expansion of 1/(1-3*x-2*x^2-3*x^3).

1, 3, 11, 42, 157, 588, 2204, 8259, 30949, 115977, 434606, 1628619, 6103000, 22870056, 85702025, 321155187, 1203479779, 4509855786, 16899992477, 63330128340, 237319937332, 889320046107, 3332590398005, 12488371098225, 46798254229006, 175369276077483

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,2,3).

Mathematica

CoefficientList[Series[1/(1-3x-2x^2-3x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[{3, 2, 3}, {1, 3, 11}, 40] (* Harvey P. Dale, Nov 05 2021 *)

Crossrefs

Partial sums of S(n, x), for x=1...15, A021823, A000217, A027941, A061278, A089817, A053142, A092521, A076765, A092420, A097784, A097826-A097828, A076139, A097829.

Sequence in context: A225431 A359248 A099489 * A106460 A319512 A279704

Adjacent sequences: A077827 A077828 A077829 * A077831 A077832 A077833

Keyword

nonn

Author

N. J. A. Sloane, Nov 17 2002

Status

approved