A017565 a(n) = (12*n + 3)^9.

19683, 38443359375, 7625597484987, 208728361158759, 2334165173090451, 15633814156853823, 75084686279296875, 285544154243029527, 913517247483640899, 2558036924386500591, 6443858614676334363

Offset

0,1

Links

Table of n, a(n) for n=0..10.

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

G.f.: (1/((-1+x)^10))*19683*(1 + 1953115*x + 367889284*x^2 + 6818184988*x^3 + 29742429982*x^4 + 39523450714*x^5 + 16677432820*x^6 + 1955297356*x^7 + 40156777*x^8 + 19683*x^9). - Harvey P. Dale, Jul 01 2021

Mathematica

(12*Range[0, 20]+3)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {19683, 38443359375, 7625597484987, 208728361158759, 2334165173090451, 15633814156853823, 75084686279296875, 285544154243029527, 913517247483640899, 2558036924386500591}, 20] (* Harvey P. Dale, Jul 01 2021 *)

Crossrefs

Sequence in context: A017205 A017313 A017433 * A352037 A321813 A081866

Adjacent sequences: A017562 A017563 A017564 * A017566 A017567 A017568

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved