A175151 - OEIS

%I #21 Feb 08 2025 04:05:51

%S 1,5,26,182,1737,21345,320938,5701778,116812889,2710555349,

%T 70256770866,2011763864406,63066746422417,2148275748236033,

%U 79009709388692498,3120334201617871778,131703367127423550129,5916556161455825857509,281857608793034773225930

%N a(n) = Sum_{i=1..n} ((i+1)^i - 1)/i.

%H G. C. Greubel, <a href="/A175151/b175151.txt">Table of n, a(n) for n = 1..350</a>

%F a(n) = Sum_{i=1..n+1} A060072(i). - _R. J. Mathar_, Mar 05 2010

%F a(n) = Sum_{j=1..n} (j+1)^j/j - H(n), where H(n) is the n-th harmonic number. - _G. C. Greubel_, Aug 16 2022

%t Accumulate[Table[((i+1)^i-1)/i,{i,20}]] (* _Harvey P. Dale_, Jul 08 2017 *)

%o (Magma) [(&+[((j+1)^j -1)/j: j in [1..n]]): n in [1..30]]; // _G. C. Greubel_, Aug 16 2022

%o (SageMath) [sum(((j+1)^j -1)/j for j in (1..n)) for n in (1..30)] # _G. C. Greubel_, Aug 16 2022

%Y Cf. A000169, A023037, A037205, A060072.

%K easy,nonn

%O 1,2

%A _Ctibor O. Zizka_, Feb 26 2010

%E More terms from _R. J. Mathar_, Mar 05 2010