

A154549


a(n) = 111111*n.


2



111111, 222222, 333333, 444444, 555555, 666666, 777777, 888888, 999999, 1111110, 1222221, 1333332, 1444443, 1555554, 1666665, 1777776, 1888887, 1999998, 2111109, 2222220, 2333331, 2444442, 2555553, 2666664, 2777775, 2888886
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OFFSET

1,1


COMMENTS

This sequence was described by Magnitsky, Leontiy Filippovich (16691739), author of "The Russian Mathematical Encyclopedia" (1703) and other books. See the Kvant link. Magnitsky wrote it as a(n) = 143n*777.  Oleg Zyakun, Feb 28 2009


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
A. Zhukov, Wonderful sequences. Kvant 6, 1998. (in Russian)
Index entries for linear recurrences with constant coefficients, signature (2,1).


FORMULA

G.f.: 111111*x/(1x)^2.  Vincenzo Librandi, Feb 29 2012


MATHEMATICA

LinearRecurrence[{2, 1}, {111111, 222222}, 20] (* Vincenzo Librandi, Feb 28 2012 *)
111111Range[30] (* Harvey P. Dale, Aug 11 2016 *)


PROG

(PARI) a(n)=111111*n \\ Charles R Greathouse IV, Jan 11 2012


CROSSREFS

Sequence in context: A094325 A171725 A135403 * A038448 A097077 A109716
Adjacent sequences: A154546 A154547 A154548 * A154550 A154551 A154552


KEYWORD

nonn,easy


AUTHOR

Vincenzo Librandi, Jan 11 2009


STATUS

approved



