A350522 a(n) = 18*n + 16.

16, 34, 52, 70, 88, 106, 124, 142, 160, 178, 196, 214, 232, 250, 268, 286, 304, 322, 340, 358, 376, 394, 412, 430, 448, 466, 484, 502, 520, 538, 556, 574, 592, 610, 628, 646, 664, 682, 700, 718, 736, 754, 772, 790, 808, 826, 844, 862, 880, 898, 916, 934, 952, 970

Offset: 0

Author

Omar E. Pol, Jan 03 2022

Keywords

• nonn
• easy

Comments

Sixth column of A006370 (the Collatz or 3x+1 map) when it is interpreted as a rectangular array with six columns read by rows.

Links

• Leo Tavares, Illustration: Triple Hexagonal Rings
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Bisection of A017245.

Cf. A006370, A008588, A008600, A016969, A017257, A062728, A239129.

Programs

GAP

List([0..53], n-> 18*n+16)

Magma

[18*n+16: n in [0..53]];

Maple

seq(18*n+16, n=0..53);

Mathematica

Table[18n+16, {n, 0, 53}]

Maxima

makelist(18*n+16, n, 0, 53);

PARI

a(n)=18*n+16

Python

[18*n+16 for n in range(53)]

Formula

a(n) = A239129(n+1) - 1.

From Stefano Spezia, Jan 04 2022: (Start)

O.g.f.: 2*(8 + x)/(1 - x)^2.

E.g.f.: 2*exp(x)*(8 + 9*x).

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

a(n) = 3*A008588(n+1) - 2. - Leo Tavares, Sep 14 2022

From Elmo R. Oliveira, Apr 12 2024: (Start)

a(n) = 2*A017257(n) = A006370(A016969(n)).

a(n) = 2*(A062728(n+1) - A062728(n)). (End)