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

0,3

Links

Table of n, a(n) for n=0..22.

Formula

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

Example

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.

Mathematica

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

Prog

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

Crossrefs

Cf. A000108, A048385.

Sequence in context: A359524 A070764 A327646 * A110051 A334551 A273023

Adjacent sequences: A244743 A244744 A244745 * A244747 A244748 A244749

Keyword

nonn,base

Author

Vincenzo Librandi, Jul 05 2014

Status

approved