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A115416 Imaginary part of (n + i)^n, with i=sqrt(-1). 6
0, 1, 4, 26, 240, 2876, 42372, 740536, 14970816, 343603216, 8825080100, 250756091552, 7809130867824, 264489160965056, 9678967816041188, 380574552503498624, 16000787866533953280, 716309568462681538816 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Real part: A115415.

LINKS

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

FORMULA

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A000312, A009116, A115415.

Sequence in context: A209923 A317339 A304338 * A302606 A052577 A203935

Adjacent sequences:  A115413 A115414 A115415 * A115417 A115418 A115419

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 April 22 10:24 EDT 2019. Contains 322330 sequences. (Running on oeis4.)