A347837 a(n) = 32*(n + floor(n/3)) - 11; third column of A347834.

21, 53, 117, 149, 181, 245, 277, 309, 373, 405, 437, 501, 533, 565, 629, 661, 693, 757, 789, 821, 885, 917, 949, 1013, 1045, 1077, 1141, 1173, 1205, 1269, 1301, 1333, 1397, 1429, 1461, 1525, 1557, 1589, 1653, 1685

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1).

Formula

a(n) = A347834(n, 2) = A178415(A265667(n), 3), for n >= 1.

a(n) = (3*A047579(n) + 1)*16 - 1)/3 = ((3*(n + floor(n/3)) - 1)*32 - 1)/3 = ((A319451(n) - 1)*32 - 1)/3, for n >= 1.

O.g.f.: G(x) = (-11 + 32*x + 32*x^2 + 75*x^3)/((1 - x)*(1 - x^3)), with a(0) =-11.

Maple

seq(32*(n + floor(n/3)) - 11, n=1..40); # Peter Luschny, Oct 10 2021

Mathematica

A347837[n_] := 32*(n + Floor[n/3]) - 11; Array[A347837, 50] (* or *)
LinearRecurrence[{1, 0, 1, -1}, {21, 53, 117, 149}, 50] (* Paolo Xausa, Feb 27 2024 *)

Prog

(Magma) [32*(n + Floor(n/3)) - 11 : n in [1..60]]; // Wesley Ivan Hurt, Oct 10 2021

Crossrefs

Cf. A047529 (first column), A178415, A265667, A319451, A347834, A347836 (second column).

Sequence in context: A039310 A043913 A280914 * A304517 A007796 A211460

Adjacent sequences: A347834 A347835 A347836 * A347838 A347839 A347840

Keyword

nonn,easy

Author

Wolfdieter Lang, Oct 07 2021

Status

approved