|
|
A064770
|
|
Replace each digit of n with the floor of its square root.
|
|
5
|
|
|
0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 10, 11, 11, 11, 12, 12, 12, 12, 12, 13, 10, 11, 11, 11, 12, 12, 12, 12, 12, 13, 10, 11, 11, 11, 12, 12, 12, 12, 12, 13, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
COMMENTS
|
The graph of this sequence is fractal-like.
|
|
LINKS
|
|
|
EXAMPLE
|
26 -> [1.414...][2.449...] -> 12, so a(26) = 12.
|
|
MATHEMATICA
|
Table[ FromDigits[ Floor[ Sqrt[ IntegerDigits[ n]]]], {n, 0, 100} ]
With[{dg=Table[n->Floor[Sqrt[n]], {n, 0, 9}]}, Table[FromDigits[ IntegerDigits[ k]/.dg], {k, 0, 100}]] (* Harvey P. Dale, Oct 23 2020 *)
|
|
PROG
|
(Haskell)
import Data.Char (digitToInt)
a064770 :: Integer -> Integer
a064770 = read . map (("0111222223" !!) . digitToInt) . show
(PARI) a(n) = fromdigits(apply(sqrtint, digits(n))); \\ Michel Marcus, Nov 12 2023
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|