A246973 n^2 concatenated with (n+1)^2.

1, 14, 49, 916, 1625, 2536, 3649, 4964, 6481, 81100, 100121, 121144, 144169, 169196, 196225, 225256, 256289, 289324, 324361, 361400, 400441, 441484, 484529, 529576, 576625, 625676, 676729, 729784, 784841, 841900, 900961, 9611024, 10241089, 10891156, 11561225, 12251296, 12961369, 13691444

Offset: 0

Author

N. J. A. Sloane, Sep 13 2014

Keywords

• nonn
• base
• easy

Examples

			a(2) = 49 because 2^2 = 4 and 3^2 = 9.
a(3) = 916 because 3^2 = 9 and 4^2 = 16.
a(4) = 1625 because 4^2 = 16 and 5^2 = 25.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

For primes see A104242.

Cf. A235497.

Programs

Magma

[1] cat [Seqint(Intseq(n^2+2*n+1) cat Intseq(n^2)): n in [1..50]]; // Vincenzo Librandi, Sep 13 2014

Maple

a:= n-> parse(cat(n^2, (n+1)^2)):
seq(a(n), n=0..40);  # Alois P. Heinz, May 27 2018

Mathematica

Table[FromDigits[Join[IntegerDigits[n^2], IntegerDigits[(n + 1)^2]]], {n, 0, 39}] (* Alonso del Arte, Sep 13 2014 *)

PARI

a(n) = eval(Str(n^2,(n+1)^2)) \\ Michel Marcus, Sep 13 2014 and M. F. Hasler, May 27 2018

PARI

A246973(n)=n^2*10^logint(10*(n+1)^2,10)+(n+1)^2 \\ Over 4 x faster than using eval(Str(...)). - M. F. Hasler, May 27 2018