Leo Tavares - cp's OEIS frontend

User: Leo Tavares

Leo Tavares has authored 2 sequences.

A361692 a(n) = 17*n - 1.

16, 33, 50, 67, 84, 101, 118, 135, 152, 169, 186, 203, 220, 237, 254, 271, 288, 305, 322, 339, 356, 373, 390, 407, 424, 441, 458, 475, 492, 509, 526, 543, 560, 577, 594, 611, 628, 645, 662, 679, 696, 713, 730, 747, 764, 781, 798, 815, 832, 849, 866, 883, 900, 917, 934, 951, 968, 985, 1002, 1019

Offset: 1

Leo Tavares, Mar 20 2023

Leo Tavares, Illustration: Double Diamonds.
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A008590, A008599, A017257.

17*Range[100] - 1 (* Paolo Xausa, Aug 30 2024 *)
LinearRecurrence[{2,-1},{16,33},90] (* Harvey P. Dale, Jun 03 2025 *)

a(n) = 17*n - 1 = A008599(n) - 1.
a(n) = 2*A008590(n) + n - 1.
a(n) = A008590(n) + A017257(n-1).
From Elmo R. Oliveira, Apr 03 2025: (Start)
G.f.: x*(16 + x)/(x - 1)^2.
E.g.f.: exp(x)*(17*x - 1) + 1.
a(n) = 2*a(n-1) - a(n-2) for n > 2. (End)

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

Original entry on oeis.org

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

Leo Tavares, Oct 27 2022

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

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).

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

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

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)

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User: Leo Tavares

A361692 a(n) = 17*n - 1.

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