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A019523 Concatenation of Fibonacci(1) through Fibonacci(n). 10
1, 11, 112, 1123, 11235, 112358, 11235813, 1123581321, 112358132134, 11235813213455, 1123581321345589, 1123581321345589144, 1123581321345589144233, 1123581321345589144233377, 1123581321345589144233377610, 1123581321345589144233377610987 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For n<=800, only a(2) and a(4) are primes. - Dmitry Kamenetsky, Feb 25 2009

a(n) has about kn(n+1) digits, where k = log phi/log 100 = 0.10449... - Charles R Greathouse IV, Sep 19 2012

REFERENCES

S. Smarandoiu, Convergence of Smarandache continued fractions, Abstract 96T-11-195, Abstracts Amer. Math. Soc., 17 (No. 4, 1996), 680.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..96

F. Smarandache, Collected Papers, Vol. II

Eric Weisstein's World of Mathematics, Fibonacci Number

Eric Weisstein's World of Mathematics, Consecutive Number Sequences

Eric Weisstein's World of Mathematics, Smarandache Sequences

FORMULA

a(n) = a(n-1)*10^A055642(A000045(n)) + A000045(n). - José de Jesús Camacho Medina, Dec 16 2016

MATHEMATICA

Table[FromDigits[Flatten[IntegerDigits[Fibonacci[Range[n]]]]], {n, 25}] (* G. C. Greubel, Nov 30 2016 *)

PROG

(Haskell)

a019523 n = read $ concatMap show $ take n $ tail a000045_list :: Integer

-- Reinhard Zumkeller, Mar 01 2014

(Magma) [Seqint(Reverse(&cat[Reverse(Intseq(Fibonacci(k))): k in [1..n]])): n in [1..20]]; // Vincenzo Librandi, Dec 18 2016

CROSSREFS

Cf. A000045, A038399.

Sequence in context: A104720 A132926 A094704 * A132939 A059996 A132938

Adjacent sequences: A019520 A019521 A019522 * A019524 A019525 A019526

KEYWORD

base,nonn

AUTHOR

R. Muller

STATUS

approved

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Last modified November 27 02:42 EST 2022. Contains 358362 sequences. (Running on oeis4.)