A007819 a(n) = Sum_{j=1..n} binomial(n^2, j).

1, 10, 129, 2516, 68405, 2391495, 102022809, 5130659560, 296881218693, 19415908147835, 1415538531617771, 113796709835547766, 9998149029974754103, 952980844872975079231, 97930011125976327934825

Offset: 1

Author

Joseph Lavinus Ganley (jwl8k(AT)server.cs.Virginia.EDU)

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..338

Crossrefs

Cf. A066382.

Programs

Magma

[ &+[Binomial(n^2,j): j in [1..n]]: n in [1..20]]; // G. C. Greubel, Mar 06 2020

Maple

seq( add(binomial(n^2,j), j=1..n), n=1..20); # G. C. Greubel, Mar 06 2020

Mathematica

Table[Sum[Binomial[n^2,i],{i,n}],{n,20}] (* Harvey P. Dale, Nov 03 2013 *)

PARI

vector(20, n, sum(j=1,n, binomial(n^2,j))) \\ G. C. Greubel, Mar 06 2020

Sage

[sum(binomial(n^2,j) for j in (1..n)) for n in (1..20)] # G. C. Greubel, Mar 06 2020

Formula

a(n) = A066382(n) - 1. - Peter Luschny, Mar 06 2020