A091711 Exponent of 2 in (n^2)!.

0, 3, 7, 15, 22, 34, 46, 63, 78, 97, 116, 142, 165, 193, 221, 255, 286, 321, 356, 397, 435, 479, 526, 574, 620, 672, 723, 781, 836, 896, 956, 1023, 1086, 1153, 1220, 1293, 1363, 1439, 1514, 1597, 1676, 1758, 1842, 1931, 2017, 2113, 2205, 2302, 2396

Offset: 1

Author

Ralf Stephan, Feb 09 2004

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A007814(A088020(n)).

Programs

Magma

[Valuation(Factorial(n^2), 2): n in [1..50]]; // Vincenzo Librandi, May 16 2013

Mathematica

Table[IntegerExponent[(n^2)!,2],{n,50}] (* Harvey P. Dale, Nov 15 2018 *)

PARI

a(n)=valuation((n*n)!,2)