A244746 Numbers obtained by concatenating the squares of the digits of Catalan(n).

1, 1, 4, 25, 116, 164, 194, 16481, 11690, 1664364, 136498136, 2564496436, 4064014, 491648100, 436491616160, 81368116641625, 9259254936490, 148136161649810, 164949369644900, 149364943691810, 362536161401640, 41616363643649040, 811166442536936160

Offset: 0

Author

Vincenzo Librandi, Jul 05 2014

Keywords

• nonn
• base

Examples

			For n = 7, Catalan(7) = 429 and a(7) = 16481, which is the concatenation of the squares of the digits of 429. For n = 14, Catalan(14) = 2674440 and a(14) = 436491616160.
		

Crossrefs

Cf. A000108, A048385.

Programs

Magma

[StringToInteger(&cat[IntegerToString(h): h in Reverse([i^2: i in Intseq(Catalan(n))])]): n in [0..30]];

Mathematica

Table[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[ CatalanNumber[ n]]^2)]],{n,0,30}] (* Harvey P. Dale, Sep 23 2020 *)

Formula

a(n) = A048385(A000108(n)).