A358053 a(n) = 14*n - 1.

13, 27, 41, 55, 69, 83, 97, 111, 125, 139, 153, 167, 181, 195, 209, 223, 237, 251, 265, 279, 293, 307, 321, 335, 349, 363, 377, 391, 405, 419, 433, 447, 461, 475, 489, 503, 517, 531, 545, 559, 573, 587, 601, 615, 629, 643, 657, 671, 685, 699, 713, 727, 741, 755, 769, 783, 797

Offset: 1

Author

Leo Tavares, Oct 27 2022

Keywords

• nonn
• easy

Comments

This sequence can be illustrated by a star outline with a central row of counters.

Subsequence of primes is A045473. - Bernard Schott, Jan 25 2023

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Leo Tavares, Illustration: Mid-line Stars.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008596, A003154, A017053, A045473, A045944, A202804.

Programs

Mathematica

14*Range[100] - 1 (* Paolo Xausa, Oct 04 2024 *)

Formula

a(n) = 14*n - 1.

a(n) = A003154(n+1) - A202804(n-1).

a(n) = A003154(n+1) - 2*A045944(n-1).

From Elmo R. Oliveira, Apr 03 2025: (Start)

G.f.: x*(13 + x)/(x - 1)^2.

E.g.f.: exp(x)*(14*x - 1) + 1.

a(n) = A017053(2*n-1).

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