A093844 - OEIS

A093844

n-th row of the following triangle contains n terms of an arithmetic progression with the first term 1 such that the sum is the least possible n-th power. Sequence contains the leading diagonal.

%I #5 Dec 05 2013 19:56:48

%S 1,3,17,7,1249,15551,235297,419903,86093441,1999999999,51874849201,

%T 1486016741375,46596170244961,1587429546508287,58385852050781249,8191,

%U 97322383751333736961,4371823119477393063935,208254700595822483065681

%N n-th row of the following triangle contains n terms of an arithmetic progression with the first term 1 such that the sum is the least possible n-th power. Sequence contains the leading diagonal.

%C 1

%C 1 3

%C 1 9 17

%C 1 3 5 7

%C 1 313 625 937 1249

%C 1 3111 6221 9331 12441 15551

%o (PARI) {a(n)=local(k);k=2;while(2*Mod(k,n)^n!=0||2*(Mod(k,n-1)^n-1)!=0,k++);2*k^n/n-1} (Alekseyev)

%Y Cf. A093460, A093845.

%Y Cf. A093845, A110500.

%K nonn

%O 1,2

%A _Amarnath Murthy_, Apr 18 2004

%E More terms from _Max Alekseyev_, Jul 23 2005