A103214 a(n) = 24*n + 1.

1, 25, 49, 73, 97, 121, 145, 169, 193, 217, 241, 265, 289, 313, 337, 361, 385, 409, 433, 457, 481, 505, 529, 553, 577, 601, 625, 649, 673, 697, 721, 745, 769, 793, 817, 841, 865, 889, 913, 937, 961, 985, 1009, 1033, 1057, 1081, 1105, 1129, 1153, 1177, 1201

Offset: 0

Author

Ralf Stephan, Jan 28 2005

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..3000
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Equals A008606 + 1. Bisection of A017533.

Cf. A255185.

Programs

Magma

[24*n+1: n in [0..60]]; // Vincenzo Librandi, Jun 15 2011

Mathematica

Range[1, 2000, 24] (* Vladimir Joseph Stephan Orlovsky, Jun 14 2011 *)

PARI

a(n)=24*n+1 \\ Charles R Greathouse IV, Jun 14 2011

Formula

From Elmo R. Oliveira, Mar 21 2024: (Start)

G.f.: (1+23*x)/(1-x)^2.

E.g.f.: exp(x)*(1 + 24*x).

a(n) = A255185(n+1) - A255185(n).

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