A145827 Numbers n such that A145768(n) is a square.

0, 1, 7, 9, 14, 15, 16, 24, 33, 63, 89, 193, 240, 255, 271, 430, 448, 528, 575, 729, 742, 783, 903, 1297, 1776, 2409, 2623, 3494, 4079, 4159, 5439, 8278, 13631, 13737, 16128, 41825, 53007, 64344, 95985, 99015, 100607, 138238, 147734, 198976, 256177, 262079, 262335, 278847

Offset: 1

Author

M. F. Hasler, Oct 20 2008

Keywords

• easy
• base
• nonn

Crossrefs

A145828 = A145768 intersect A000290 = { A145768(a(n)) }.

Programs

PARI

an=0;for(i=1,10^5,an=bitxor(an,i^2);issquare(an)&print1(i","))

Python

import math
x = 0
for i in range(1<<20):
    x ^= i*i
    t = int(math.sqrt(x))
    if x == t*t:
        print(str(i), end=', ')
# Alex Ratushnyak, Mar 27 2013

Extensions

More terms from Alex Ratushnyak, Mar 27 2013