A147832 Numbers congruent (0,2) mod 14.

0, 2, 14, 16, 28, 30, 42, 44, 56, 58, 70, 72, 84, 86, 98, 100, 112, 114, 126, 128, 140, 142, 154, 156, 168, 170, 182, 184, 196, 198, 210, 212, 224, 226, 238, 240, 252, 254, 266, 268, 280, 282, 294, 296, 308, 310, 322, 324, 336, 338, 350, 352, 364, 366, 378, 380

Offset: 1

Author

Giovanni Teofilatto, Nov 14 2008

Keywords

• easy
• nonn

Links

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

Crossrefs

Cf. A113801, A047274, A001106.

Programs

Mathematica

Flatten[{#,#+2}&/@(14 Range[0,30])]  (* Harvey P. Dale, Dec 25 2010 *)

Formula

Except for the initial term, a(n) = A113801(n-1) + 1.

a(n) = 14*n - a(n-1) - 26 (with a(1)=0). - Vincenzo Librandi, Dec 17 2010

From Bruno Berselli, Dec 17 2010: (Start)

G.f.: 2*x^2*(1+6*x)/((1+x)*(1-x)^2).

a(n) = 2*A047274(n) = (14*n - 5*(-1)^n - 19)/2.

a(n) = 2*(A001106(n-1) - Sum_{i=1..n-1} a(i)) for n > 1. (End)

Extensions

382 replaced with 380 by R. J. Mathar, Jun 28 2010