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A121625 Real part of (n + n*i)^n. 0
1, 1, 0, -54, -1024, -12500, 0, 6588344, 268435456, 6198727824, 0, -9129973459552, -570630428688384, -19384006821904192, 0, 56050417968750000000, 4722366482869645213696, 211773507042902211629312, 0, -1012950863698080557631477248, -107374182400000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = Re(n + n*i)^n.

EXAMPLE

a(7) = 6588344 since (7 + 7i)^7 = (6588344 - 6588344i).

MATHEMATICA

f[n_] := Re[(n + n*I)^n]; Array[f, 19] (* Robert G. Wilson v, Aug 17 2006 *)

PROG

(PARI) a(n) = real((n + n*I)^n); \\ Michel Marcus, Dec 19 2020

CROSSREFS

Cf. A115415, A121626.

Sequence in context: A324952 A298718 A245832 * A341940 A190399 A071803

Adjacent sequences:  A121622 A121623 A121624 * A121626 A121627 A121628

KEYWORD

sign

AUTHOR

Gary W. Adamson, Aug 12 2006

EXTENSIONS

More terms from Robert G. Wilson v, Aug 17 2006

a(0)=1 prepended by Alois P. Heinz, Dec 19 2020

STATUS

approved

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Last modified June 23 21:09 EDT 2021. Contains 345402 sequences. (Running on oeis4.)