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

0,1

Links

Paul Tek, Table of n, a(n) for n = 0..10000

Paul Tek, PARI program for this sequence

Example

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

Prog

(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

Crossrefs

Cf. A034067, A034077.

Sequence in context: A163989 A034077 A040654 * A070715 A317105 A033346

Adjacent sequences: A034054 A034055 A034056 * A034058 A034059 A034060

Keyword

nonn,base,look

Author

Patrick De Geest, Sep 15 1998

Extensions

Title corrected by Sean A. Irvine, Aug 02 2020

Status

approved