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A048385
In base-10 notation replace digits of n with their squared values (Version 1).
19
0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 10, 11, 14, 19, 116, 125, 136, 149, 164, 181, 40, 41, 44, 49, 416, 425, 436, 449, 464, 481, 90, 91, 94, 99, 916, 925, 936, 949, 964, 981, 160, 161, 164, 169, 1616, 1625, 1636, 1649, 1664, 1681, 250, 251, 254, 259, 2516, 2525
OFFSET
0,3
LINKS
FORMULA
a(n) >= n with equality iff n belongs to A007088. - Rémy Sigrist, May 17 2019
MAPLE
a:= n-> (s-> parse(cat(seq(parse(s[i])^2, i=1..length(s)))))(""||n):
seq(a(n), n=0..70); # Alois P. Heinz, Jul 04 2014
MATHEMATICA
Table[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[n]^2)]], {n, 0, 80}] (* Harvey P. Dale, May 06 2019 *)
PROG
(Magma) [0] cat [StringToInteger(&cat[IntegerToString(h): h in Reverse([i^2: i in Intseq(n)])]): n in [1..55]]; // Bruno Berselli, Jul 31 2012
(Python)
def digits(n):
d=[]
while n>0:
d.append(n%10)
n=n//10
return d
def sqdig(n):
new=0
num=digits(n)
spacing=0
while num:
k=num.pop(0)
new+=(10**(spacing))*(k**2)
if k>3:
spacing+=1
spacing+=1
return new
# David Nacin, Aug 19 2012
(Haskell)
a048385 0 = 0
a048385 n = read (show (a048385 n') ++ show (m ^ 2)) :: Integer
where (n', m) = divMod n 10
-- Reinhard Zumkeller, Jul 08 2014
(PARI) a(n) = if (n, fromdigits(concat(apply(d -> my (d2=d^2); if (d2, digits(d2), [0]), digits(n)))), 0) \\ Rémy Sigrist, May 17 2019
(MATLAB) m=1;
for u=0:200 digit=dec2base(u, 10)-'0'; digitp=digit.^2;
sol(m)=str2num(strrep(num2str(digitp), ' ', '')); m=m+1;
end
sol % Marius A. Burtea, May 17 2019
CROSSREFS
See A068522 for another version.
Sequence in context: A277342 A098733 A068522 * A230101 A361203 A057147
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Mar 15 1999
STATUS
approved