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A358053
a(n) = 14*n - 1.
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
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
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).
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)
MATHEMATICA
14*Range[100] - 1 (* Paolo Xausa, Oct 04 2024 *)
LinearRecurrence[{2, -1}, {13, 27}, 60] (* Harvey P. Dale, Dec 19 2025 *)
CROSSREFS
Cf. A008596, A003154, A017053, A045473, A045944, A202804.
Sequence in context: A041765 A041328 A136773 * A189528 A132755 A250667
Adjacent sequences: A358050 A358051 A358052 * A358054 A358055 A358056
KEYWORD
nonn,easy
AUTHOR
Leo Tavares, Oct 27 2022
STATUS
approved

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Last modified April 12 18:46 EDT 2026. Contains 394620 sequences.
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