A291392 a(n) = (1/12)*A291391(n).

1, 10, 90, 765, 6264, 49968, 390960, 3013740, 22958640, 173225952, 1296640224, 9640743120, 71270772480, 524277204480, 3840015361536, 28018969060032, 203753553511680, 1477232299307520, 10681095982072320, 77040637862485248, 554445497303525376

Offset: 0

Author

Clark Kimberling, Sep 06 2017

Keywords

• nonn
• easy

Links

• Clark Kimberling, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (12, -24, -72, -36)

Crossrefs

Cf. A019590, A291382, A291391.

Programs

Mathematica

z = 60; s = x + x^2; p = (1 - 6 s)^2;
Drop[CoefficientList[Series[s, {x, 0, z}], x], 1]  (* A019590 *)
u = Drop[CoefficientList[Series[1/p, {x, 0, z}], x], 1]  (* A291391 *)
u / 12  (* A291392 *)
LinearRecurrence[{12,-24,-72,-36},{1,10,90,765},30] (* Harvey P. Dale, Nov 24 2023 *)

Formula

G.f.: -(((1 + x) (-1 + 3 x + 3 x^2))/(-1 + 6 x + 6 x^2)^2).

a(n) = 12*a(n-1) - 24*a(n-2) - 72*a(n-3) - 36*a(n-4) for n >= 5.