A167573 The third row of the ED3 array A167572.

23, 83, 183, 323, 503, 723, 983, 1283, 1623, 2003, 2423, 2883, 3383, 3923, 4503, 5123, 5783, 6483, 7223, 8003, 8823, 9683, 10583, 11523, 12503, 13523, 14583, 15683, 16823, 18003, 19223, 20483, 21783, 23123, 24503, 25923, 27383, 28883, 30423

Offset

1,1

Links

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

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

Formula

a(n) = 20*n^2 + 3.

G.f.: (3*z^2 + 14*z + 23)/(1-z)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - G. C. Greubel, Jun 16 2016

Mathematica

Table[20*n^2 + 3, {n, 1, 100] (* or *) LinearRecurrence[{3, -3, 1}, {23, 83, 183}, 100] (* G. C. Greubel, Jun 16 2016 *)

Prog

(PARI) a(n)=20*n^2+3 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Equals the third row of the ED3 array A167572.

Sequence in context: A256376 A128825 A339475 * A318356 A142790 A288340

Adjacent sequences: A167570 A167571 A167572 * A167574 A167575 A167576

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved