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A067096 Floor[X/Y] where X = concatenation in increasing order of first n even numbers and Y = that of first n natural numbers. 7
2, 2, 2, 2, 19, 199, 1999, 19991, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916, 199916 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Almost all terms appear only once.  However, in the first 5000 terms, the term 2 appears 4 times in a row; the term 199916 appears 41 times in a row; the term 19991620000261183803815753482837892477715440187362570807 appears 401 times in a row; and a term with 556 digits (that begins with the same digits as the term that appears 401 times in a row) appears 4001 times in a row.  Does this pattern continue? - Harvey P. Dale, Jul 04 2012

LINKS

Table of n, a(n) for n=1..34.

EXAMPLE

a(10) = floor[ 2468101214161820/12345678910] = floor[199916.20000441271803658143252326] = 199916.

MATHEMATICA

f[n_] := (k = 1; x = y = "0"; While[k < n + 1, x = StringJoin[x, ToString[2^k]]; y = StringJoin[y, ToString[k]]; k++ ]; Return[ Floor[ ToExpression[x] / ToExpression[y]]] ); Table[ f[n], {n, 1, 40} ]

ccat[n_, i_]:=FromDigits[Flatten[IntegerDigits/@Range[i, n, i]]]; Table[ Floor[ ccat[2m, 2]/ccat[m, 1]], {m, 40}] (* Harvey P. Dale, Jul 04 2012 *)

CROSSREFS

Cf. A067088, A067089, A067090, A067091, A067092, A067093, A067094, A067095.

floor[A019520(n)/A019519(n)]

Sequence in context: A334509 A029643 A100687 * A259704 A249779 A167394

Adjacent sequences:  A067093 A067094 A067095 * A067097 A067098 A067099

KEYWORD

easy,nonn,base

AUTHOR

Amarnath Murthy, Jan 07 2002

EXTENSIONS

More terms from Robert G. Wilson v, Jan 09 2002

STATUS

approved

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Last modified June 23 02:02 EDT 2021. Contains 345395 sequences. (Running on oeis4.)