A144619 a(n) = 19*n + 8.

8, 27, 46, 65, 84, 103, 122, 141, 160, 179, 198, 217, 236, 255, 274, 293, 312, 331, 350, 369, 388, 407, 426, 445, 464, 483, 502, 521, 540, 559, 578, 597, 616, 635, 654, 673, 692, 711, 730, 749, 768, 787, 806, 825, 844, 863, 882, 901, 920, 939, 958, 977, 996

Offset: 0

Author

Vincenzo Librandi, Jan 15 2009

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008601, A141873, A144620.

Programs

Magma

I:=[8, 27]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..60]]; // Vincenzo Librandi, May 14 2012

Mathematica

Range[8, 1500, 19] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
CoefficientList[Series[(8+11*x)/(x-1)^2,{x,0,60}],x] (* Vincenzo Librandi, May 14 2012 *)
LinearRecurrence[{2,-1},{8,27},60] (* Harvey P. Dale, Jun 17 2020 *)

Formula

From Vincenzo Librandi, May 14 2012: (Start)

G.f.: (11*x+8)/(1-x)^2.

a(n) = 2*a(n-1) - a(n-2). (End)

E.g.f.: exp(x)*(8 + 19*x). - Elmo R. Oliveira, Apr 04 2025

Extensions

Offset corrected by Jon E. Schoenfield, Jun 17 2010