A136845 Numbers k such that k and k^2 use only the digits 0, 1, 3, 5 and 8.

0, 1, 10, 100, 1000, 10000, 58151, 100000, 550501, 581510, 1000000, 5505010, 5815100, 5818151, 10000000, 55050100, 55055001, 58151000, 58181510, 100000000, 183031501, 550501000, 550550010, 555005001, 581510000, 581815100, 1000000000, 1000550501, 1005055001, 1830315010, 3180155001, 3318358151, 5505010000, 5505500100, 5505550001

Offset

1,3

Comments

Generated with DrScheme.

Links

Jonathan Wellons and Chai Wah Wu, Table of n, a(n) for n = 1..237 (first 174 terms from Jonathan Wellons).

J. Wellons, Tables of Shared Digits [archived]

Example

58151^2 = 3381538801.
581858058583151^2 = 338558800338153581101581088801.

Prog

(Python)
from itertools import product
A136845_list = [0, 1]
for l in range(15):
....for a in ('1', '3', '5', '8'):
........for b in product('01358', repeat=l):
............for c in ('0', '1', '5'):
................n = int(''.join([a]+list(b)+[c]))
................if set(str(n*n)) <= {'0', '1', '3', '5', '8'}:
....................A136845_list.append(n) # Chai Wah Wu, May 25 2015

Crossrefs

Sequence in context: A232659 A232660 A052211 * A272503 A136837 A136854

Adjacent sequences: A136842 A136843 A136844 * A136846 A136847 A136848

Keyword

base,nonn,changed

Author

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Status

approved