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A120905 Real part of (1 + 2i)^(2^n) where i is sqrt(-1). 3
1, -3, -7, -527, 164833, -98248054847, -3977703802948722503807, -510456831154766758152181998159655209453904127 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The next term a(8) has 90 digits and is too large to be displayed here.

LINKS

Table of n, a(n) for n=0..7.

FORMULA

a(n) = A006495(2^n).

a(n) = real part of (2 + sqrt(-1))^(2^n) for n >= 0.

EXAMPLE

a(3) = -527 since (1 + 2i)^8 = (-527 + 336i) = A006495(8).

MAPLE

a:= n-> Re((1 + 2*I)^(2^n));

seq (a(n), n=0..10);

MATHEMATICA

Table[Re[(1 + 2I)^(2^n)], {n, 0, 8}] (* Stefan Steinerberger, Jul 23 2006 *)

CROSSREFS

Cf. A006495.

Sequence in context: A013423 A199365 A153217 * A062599 A101246 A056801

Adjacent sequences:  A120902 A120903 A120904 * A120906 A120907 A120908

KEYWORD

sign

AUTHOR

Gary W. Adamson, Jul 14 2006

EXTENSIONS

Corrected and extended by Stefan Steinerberger and Emeric Deutsch, Jul 23 2006

STATUS

approved

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Last modified September 18 01:39 EDT 2021. Contains 347504 sequences. (Running on oeis4.)