A174312 a(n) = 32*n.

0, 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120, 1152, 1184, 1216, 1248, 1280, 1312, 1344, 1376, 1408, 1440, 1472, 1504, 1536, 1568, 1600

Offset: 0

Author

Paul Curtz, Nov 27 2010

Keywords

• nonn
• easy

Comments

Subsequence of squares is A017066 (see 2nd formula). - Bernard Schott, Mar 03 2023

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A001105, A008598, A017066, A135628, A135631, A152691.

Programs

Magma

[32*n: n in [0..60]]; // Vincenzo Librandi, Aug 04 2011

Mathematica

Range[0, 3000, 32] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)

PARI

a(n)=n<<5 \\ Charles R Greathouse IV, Dec 21 2011

Formula

G.f.: 32*x/(1-x)^2.

a(A001105(n)) = A017066(n). - Bernard Schott, Mar 05 2023

From Elmo R. Oliveira, Apr 07 2025: (Start)

E.g.f.: 32*x*exp(x).

a(n) = 2*A008598(n) = A152691(n)/2.

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