A193097 Numbers that are the concatenation of exactly one pair of nonzero squares.

11, 14, 19, 41, 44, 49, 91, 94, 99, 116, 125, 136, 149, 161, 169, 181, 251, 254, 259, 361, 364, 369, 416, 425, 436, 449, 464, 481, 491, 494, 499, 641, 644, 649, 811, 814, 819, 916, 925, 936, 949, 964, 981, 1001, 1004, 1009, 1100, 1121, 1144, 1169, 1196, 1211

Offset

1,1

Comments

Subsequence of A191933; A193095(a(n)) = 1.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Example

161 = concat(4^2,1^2), therefore 161 is a term;
164 = concat(1^2,8^2) = concat(4^2,2^2), therefore 164 is not a term (A191933(15)=A192993(1)=164, A193095(164)=2).

Mathematica

Take[Union[FromDigits[Flatten[IntegerDigits/@((#)^2)]]&/@Tuples[Range[14], 2]], 60] (* Harvey P. Dale, Jul 27 2011 *)

Prog

(Haskell)
import Data.List (elemIndices)
a193097 n = a193097_list !! (n-1)
a193097_list = elemIndices 1 $ map a193095 [0..]

Crossrefs

Sequence in context: A163672 A216580 A191933 * A343855 A077675 A266988

Adjacent sequences: A193094 A193095 A193096 * A193098 A193099 A193100

Keyword

nonn,base

Author

Reinhard Zumkeller, Jul 17 2011

Status

approved