A090292 Least square k^2 > n^2 whose decimal expansion ends in n^2.

100, 81, 64, 49, 2116, 225, 1936, 1849, 1764, 1681, 8100, 57121, 238144, 56169, 236196, 1225, 234256, 54289, 232324, 53361, 6400, 52441, 228484, 51529, 226576, 5625, 224676, 49729, 222784, 48841, 4900, 47961, 6091024, 1481089, 6081156, 81225, 6071296, 1471369

Offset

0,1

Comments

Subsidiary Sequence: n-th square whose decimal expansion ends in n^2.

Links

Michael S. Branicky, Table of n, a(n) for n = 0..10000

Formula

a(n) = A090293(n)^2. - David Wasserman, Oct 27 2005

Prog

(Python)
def a(n):
    k, target = n + 1, str(n*n)
    while not str(k*k).endswith(target): k += 1
    return k*k
print([a(n) for n in range(38)]) # Michael S. Branicky, Oct 09 2021
(Python) # alternate version
from math import isqrt
def issquare(n): return isqrt(n)**2 == n
def a(n):
    k, target = 1, str(n*n)
    while not issquare(int(str(k)+target)): k += 1
    return int(str(k)+target)
print([a(n) for n in range(38)]) # Michael S. Branicky, Oct 09 2021

Crossrefs

Cf. A090293.

Sequence in context: A260707 A180102 A242615 * A020993 A115020 A169735

Adjacent sequences: A090289 A090290 A090291 * A090293 A090294 A090295

Keyword

base,nonn

Author

Amarnath Murthy, Nov 29 2003

Extensions

More terms from David Wasserman, Oct 27 2005

Status

approved