A008604 Multiples of 22.

0, 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858, 880, 902, 924, 946, 968, 990, 1012, 1034, 1056, 1078, 1100, 1122, 1144

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Even numbers for which the sum of "digits" base 100 is divisible by 11. - Daniel Forgues, Feb 22 2016

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Tanya Khovanova, Recursive Sequences.
• INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 334.
• Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008593, A008602, A008603.

Programs

Mathematica

Range[0, 1500, 22] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
CoefficientList[Series[22 x / (x - 1)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Jun 10 2013 *)
LinearRecurrence[{2,-1},{0,22},50] (* Harvey P. Dale, Aug 06 2018 *)

PARI

a(n)=22*n \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: 22*x/(x-1)^2. - Vincenzo Librandi, Jun 10 2013

a(n) = A008593(2n). - Daniel Forgues, Feb 22 2016

From Wesley Ivan Hurt, May 19 2024: (Start)

a(n) = 22*n.

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

E.g.f.: 22*x*exp(x). - Stefano Spezia, Mar 02 2025