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A115415 Real part of (n + i)^n, with i=sqrt(-1). 7

%I

%S 1,1,3,18,161,1900,27755,482552,9722113,222612624,5707904499,

%T 161981127968,5039646554593,170561613679808,6237995487261915,

%U 245159013138710400,10303367499652761601,461102348510408544512

%N Real part of (n + i)^n, with i=sqrt(-1).

%C Imaginary part: A115416.

%H Seiichi Manyama, <a href="/A115415/b115415.txt">Table of n, a(n) for n = 0..386</a>

%F a(n) = n! * [x^n] exp(n*x)*cos(x). - _Ilya Gutkovskiy_, Apr 10 2018

%F a(n) ~ cos(1) * n^n. - _Vaclav Kotesovec_, Jun 08 2019

%t Table[ Re[(n + I)^n], {n, 0, 17}] (* _Robert G. Wilson v_ *)

%o (PARI) a(n) = real((n + I)^n); \\ _Michel Marcus_, Apr 11 2018

%Y Cf. A000312, A009545, A115416.

%K nonn

%O 0,3

%A _Reinhard Zumkeller_, Jan 22 2006

%E More terms from _Robert G. Wilson v_, Jan 23 2006

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Last modified January 27 14:39 EST 2020. Contains 331295 sequences. (Running on oeis4.)