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

0,2

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).

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)

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 *)

Prog

(Haskell)
a044102 = (* 36)
a044102_list = [0, 36 ..]  -- Reinhard Zumkeller, Nov 10 2013
(Magma) [36*n: n in [0..50]]; // Vincenzo Librandi, May 20 2014
(PARI) a(n)=36*n \\ Charles R Greathouse IV, Oct 07 2015
(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

Crossrefs

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

Subsequence of A008588.

Sequence in context: A114127 A322658 A224830 * A043370 A044483 A369374

Adjacent sequences: A044099 A044100 A044101 * A044103 A044104 A044105

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved