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A008591 Multiples of 9. 50
0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Complement of A168183; A168182(a(n)) = 0. - Reinhard Zumkeller, Nov 30 2009

a(n) = A007953(A002283(n)). - Reinhard Zumkeller, Aug 06 2010

An Iraqi tablet dating from the Middle Babylonian period (1400-1100 BC) gives a(1)-a(20), a(30), a(40), and a(50). See CDLI link for images and more information. - Charles R Greathouse IV, Jan 21 2017

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..200

CDLI, MKT 1, 039, HS 0217a

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 321

Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081, 2014

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 9*n = 2*a(n-1) - a(n-2). G.f.: 9x/(x-1)^2. - Vincenzo Librandi, Dec 24 2010

MATHEMATICA

Range[0, 1000, 9] (* Vladimir Joseph Stephan Orlovsky, May 27 2011 *)

PROG

(PARI) a(n)=9*n \\ Charles R Greathouse IV, Jan 30 2012

(Maxima) makelist(9*n, n, 0, 20); /* Martin Ettl, Dec 17 2012 */

CROSSREFS

Cf. A008588, A008589, A008590.

Sequence in context: A264668 A052484 A072830 * A070279 A259729 A016096

Adjacent sequences:  A008588 A008589 A008590 * A008592 A008593 A008594

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 27 06:23 EDT 2017. Contains 288777 sequences.