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