A022274 a(n) = n*(17*n - 1)/2.

0, 8, 33, 75, 134, 210, 303, 413, 540, 684, 845, 1023, 1218, 1430, 1659, 1905, 2168, 2448, 2745, 3059, 3390, 3738, 4103, 4485, 4884, 5300, 5733, 6183, 6650, 7134, 7635, 8153, 8688, 9240, 9809, 10395, 10998, 11618, 12255, 12909, 13580, 14268, 14973

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Crossrefs

Cf. A000217, A022275.

Cf. similar sequences listed in A022288.

Programs

Magma

[n*(17*n - 1)/2: n in [0..45]]; // Vincenzo Librandi, Mar 31 2015

Mathematica

Table[n (17 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Mar 12 2015 *)
CoefficientList[Series[x (8 + 9 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 31 2015 *)
LinearRecurrence[{3, -3, 1}, {0, 8,3 3}, 50] (* Harvey P. Dale, Feb 18 2016 *)

PARI

a(n)=n*(17*n-1)/2 \\ Charles R Greathouse IV, Jun 17 2017

Formula

a(n) = 17*n + a(n-1) - 9 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

From Vincenzo Librandi, Mar 31 2015: (Start)

G.f.: x*(8 + 9*x)/(1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2. (End)

a(n) = A022275(-n). - Bruno Berselli, Mar 31 2015

a(n) = A000217(9*n-1) - A000217(8*n-1). - Bruno Berselli, Oct 17 2016

E.g.f.: (x/2)*(17*x + 16)*exp(x). - G. C. Greubel, Aug 23 2017

Extensions

More terms from Vincenzo Librandi, Mar 31 2015