A290186 Expansion of (1+x)/ ((1+x)^3-7*x).

1, 5, 17, 52, 152, 435, 1232, 3471, 9753, 27367, 76738, 215098, 602811, 1689212, 4733317, 13262821, 37162121, 104126704, 291757632, 817488295, 2290553580, 6417991803, 17982818177, 50386743719, 141180528542, 395579064834, 1108387929991, 3105633996920, 8701793132873, 24381882610741

Offset

0,2

Links

Table of n, a(n) for n=0..29.

T.-X. He, L. W. Shapiro, Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group, Lin. Alg. Applic. 532 (2017) 25-41, page 34, m=3.

Index entries for linear recurrences with constant coefficients, signature (4,-3,-1).

Formula

a(n) = A215404(n+2)+A215404(n+1).

Mathematica

CoefficientList[Series[(1+x)/((1+x)^3-7x), {x, 0, 30}], x] (* Harvey P. Dale, Sep 12 2017 *)

Crossrefs

Pairwise sums of A215404.

Sequence in context: A337033 A190173 A187257 * A178703 A248875 A037544

Adjacent sequences: A290183 A290184 A290185 * A290187 A290188 A290189

Keyword

nonn,easy

Author

R. J. Mathar, Jul 23 2017

Status

approved