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A093460 a(n) = 2n^(n-1) - 1. 6

%I #7 Nov 18 2018 00:06:57

%S 1,3,17,127,1249,15551,235297,4194303,86093441,1999999999,51874849201,

%T 1486016741375,46596170244961,1587429546508287,58385852050781249,

%U 2305843009213693951,97322383751333736961,4371823119477393063935

%N a(n) = 2n^(n-1) - 1.

%C a(n) = A111568(n,n-1), i.e., diagonal of A111568. A111568 is the triangle whose n-th row contains n terms of the arithmetic progression having first term 1 and common difference 2*(n^(n-1)-1)/(n-1). - _Emeric Deutsch_, Aug 08 2005

%p a:=n->2*n^(n-1)-1: seq(a(n),n=1..20); # _Emeric Deutsch_, Aug 08 2005

%t f[n_] := 2*n^(n-1) - 1; Table[f[i], {i, 1, 30}] (* _Ryan Propper_, Aug 08 2005 *)

%Y Cf. A093461, A111568.

%K nonn

%O 1,2

%A _Amarnath Murthy_, Apr 05 2004

%E More terms from _Emeric Deutsch_ and _Ryan Propper_, Aug 08 2005

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Last modified May 24 06:10 EDT 2024. Contains 372772 sequences. (Running on oeis4.)