A034057 Decimal part of a(n)^(1/2) starts with n (squares excluded).

26, 10, 5, 11, 2, 21, 7, 3, 8, 35, 199, 83, 17, 124, 51, 173, 10, 201, 67, 27, 149, 52, 126, 5, 18, 541, 127, 86, 53, 28, 69, 11, 40, 336, 54, 19, 70, 179, 29, 108, 41, 2, 71, 89, 6, 181, 12, 20, 42, 182, 1407, 381, 157, 91, 57, 43, 31, 134, 21, 92, 13, 58

Offset: 0

Author

Patrick De Geest, Sep 15 1998

Keywords

• nonn
• base
• look

Examples

			a(0)=26 -> 26^(1/2)=5.{0}990195...
a(1)=10 -> 10^(1/2)=3.{1}622776...
		

Links

• Paul Tek, Table of n, a(n) for n = 0..10000
• Paul Tek, PARI program for this sequence

Crossrefs

Cf. A034067, A034077.

Programs

Python

from math import sqrt
def a(n):
  k, s, pow10 = 3, sqrt(2), 10**len(str(n))
  while int(pow10*(s-int(s))) != n: k, s = k+1, sqrt(k)
  return k-1
print([a(n) for n in range(1, 67)]) # Michael S. Branicky, Mar 15 2021

Extensions

Title corrected by Sean A. Irvine, Aug 02 2020