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A000461 Concatenate n n times. 16
1, 22, 333, 4444, 55555, 666666, 7777777, 88888888, 999999999, 10101010101010101010, 1111111111111111111111, 121212121212121212121212, 13131313131313131313131313, 1414141414141414141414141414 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A055642(a(n)) = n * A055642(n). [Reinhard Zumkeller, Apr 26 2011]

REFERENCES

F. Smarandache, "Properties of the numbers", Univ. of Craiova Archives, 1975; Arizona State University Special Collections, Tempe, AZ.

LINKS

M. L. Perez et al., eds., Smarandache Notions Journal

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Reinhard Zumkeller, Table of n, a(n) for n = 1..333

FORMULA

a(n) = n*(10^(n*L(n))-1)/(10^L(n)-1) where L(n) = A004216(n)+1 = floor(log_10(10n)). - Henry Bottomley (se16(AT)btinternet.com), Jun 01 2000

MAPLE

a:= n-> parse (cat (n$n)): seq (a(n), n=1..20);

PROG

(Haskell)

a000461 n = (read $ concat $ replicate n $ show n) :: Integer

-- Reinhard Zumkeller, Apr 26 2011

CROSSREFS

Cf. A048376, A053422.

Sequence in context: A158849 A048376 A053422 * A048795 A068186 A021284

Adjacent sequences:  A000458 A000459 A000460 * A000462 A000463 A000464

KEYWORD

nonn,base,easy

AUTHOR

John Radu (Suttones(AT)aol.com)

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.