A086667 Triangular array, read by rows: T(n,k) = greatest decimal number of length k contained as a string in the first n positions of the decimal expansion of Pi, 1 <= k <= n.

3, 3, 31, 4, 31, 314, 4, 41, 314, 3141, 5, 41, 415, 3141, 31415, 9, 59, 415, 4159, 31415, 314159, 9, 92, 592, 4159, 41592, 314159, 3141592, 9, 92, 926, 5926, 41592, 415926, 3141592, 31415926, 9, 92, 926, 9265, 59265, 415926, 4159265, 31415926

Offset

1,1

Comments

Conjecture: T(n,k) -> 10^k - 1.

Links

Table of n, a(n) for n=1..44.

Dave Andersen, The Pi-Search Page.

Eric Weisstein's World of Mathematics, Pi.

Example

Triangle begins:
  3,
  3, 31,
  4, 31, 314,
  4, 41, 314, 3141,
  5, 41, 415, 3141, 31415,
  ...

Crossrefs

Cf. A000796.

Sequence in context: A367890 A373740 A344934 * A067098 A188897 A088060

Adjacent sequences: A086664 A086665 A086666 * A086668 A086669 A086670

Keyword

nonn,base,tabl

Author

Reinhard Zumkeller, Jul 27 2003

Status

approved