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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence was described by Magnitsky, Leontiy Filippovich (1669-1739), 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/(1-x)^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

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Last modified December 7 23:32 EST 2022. Contains 358671 sequences. (Running on oeis4.)