A044102 Multiples of 36.

0, 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• easy

Comments

Also, k such that Fibonacci(k) mod 27 = 0. - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 18 2004

A033183(a(n)) = n+1. - Reinhard Zumkeller, Nov 07 2009

A122841(a(n)) > 1 for n > 0. - Reinhard Zumkeller, Nov 10 2013

Sum of the numbers from 4*(n-1) to 4*(n+1). - Bruno Berselli, Oct 25 2018

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A005843, A008600, A033183, A122841, A135631, A167632, A174312.

Subsequence of A008588.

Programs

GAP

a:=[0,36];; for n in [3..50] do a[n]:=2*a[n-1]-a[n-2]; od; a; # Muniru A Asiru, Oct 25 2018

Haskell

a044102 = (* 36)
a044102_list = [0, 36 ..]  -- Reinhard Zumkeller, Nov 10 2013

Magma

[36*n: n in [0..50]]; // Vincenzo Librandi, May 20 2014

Maple

seq(coeff(series(36*x/(1-x)^2,x,n+1), x, n), n = 0 .. 50); # Muniru A Asiru, Oct 25 2018

Mathematica

Range[0, 2000, 36] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)
CoefficientList[Series[36 x/(1 - x)^2, {x, 0, 100}], x] (* Vincenzo Librandi, May 20 2014 *)

PARI

a(n)=36*n \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: 36*x/(1 - x)^2.

a(n) = A167632(n+1). - Reinhard Zumkeller, Nov 07 2009

a(n) = 36*n. - Vincenzo Librandi, Jan 26 2011

From Elmo R. Oliveira, Apr 10 2025: (Start)

E.g.f.: 36*x*exp(x).

a(n) = 18*A005843(n) = 2*A008600(n).

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