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A115415 Real part of (n + i)^n, with i=sqrt(-1). 7
1, 1, 3, 18, 161, 1900, 27755, 482552, 9722113, 222612624, 5707904499, 161981127968, 5039646554593, 170561613679808, 6237995487261915, 245159013138710400, 10303367499652761601, 461102348510408544512 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Imaginary part: A115416.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..386

FORMULA

a(n) = n! * [x^n] exp(n*x)*cos(x). - Ilya Gutkovskiy, Apr 10 2018

a(n) ~ cos(1) * n^n. - Vaclav Kotesovec, Jun 08 2019

MATHEMATICA

Table[ Re[(n + I)^n], {n, 0, 17}] (* Robert G. Wilson v *)

PROG

(PARI) a(n) = real((n + I)^n); \\ Michel Marcus, Apr 11 2018

CROSSREFS

Cf. A000312, A009545, A115416.

Sequence in context: A309985 A328030 A301371 * A065058 A032031 A127646

Adjacent sequences:  A115412 A115413 A115414 * A115416 A115417 A115418

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jan 22 2006

EXTENSIONS

More terms from Robert G. Wilson v, Jan 23 2006

STATUS

approved

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Last modified December 8 02:30 EST 2019. Contains 329850 sequences. (Running on oeis4.)