A185367 First n-digit square in the digits of the golden ratio.

1, 16, 484, 576, 12544, 389376, 3154176, 31203396, 31203396, 32035600, 59993644096

Offset

1,2

Comments

Squares are allowed to have prefix 0 (see example).

Links

Table of n, a(n) for n=1..11.

Example

a(4) = 576 is the first square that occurs in the sequence of the 4 decimal digits ...0576... with the index 48 in A001622.

Maple

Digits := 10000: p0 := evalf((1+sqrt(5))/2):for d from 1 to 20 do: id:=0:for
  i from 0 to 50000 while(id=0) do :q0:=trunc(p0*10^(i+d-1)): x:= irem(q0, 10^d):
  if sqrt(x)=floor(sqrt(x)) then printf(`%d, `, x):id:=1: else fi:od:od:

Crossrefs

Cf. A001622.

Sequence in context: A239401 A254633 A283327 * A209352 A209392 A209022

Adjacent sequences: A185364 A185365 A185366 * A185368 A185369 A185370

Keyword

nonn,base

Author

Michel Lagneau, Feb 20 2011

Status

approved