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A062510 2^n + (-1)^(n+1). 11
0, 3, 3, 9, 15, 33, 63, 129, 255, 513, 1023, 2049, 4095, 8193, 16383, 32769, 65535, 131073, 262143, 524289, 1048575, 2097153, 4194303, 8388609, 16777215, 33554433, 67108863, 134217729, 268435455, 536870913, 1073741823, 2147483649 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. Boston, MA, 1976, p. 29.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

G. Everest, Y. Puri and T. Ward, Integer sequences counting periodic points, arXiv:0204173

Index to sequences with linear recurrences with constant coefficients, signature (1,2).

FORMULA

a(n) = 3*A001045(n). - Paul Curtz, Jan 17 2008

G.f. 3*x / ( (1+x)*(1-2*x) )

PROG

(PARI) for(n=0, 22, print(2^n+(-1)^(n+1)))

(MAGMA) [2^n + (-1)^(n+1): n in [0..40]]; // Vincenzo Librandi, Aug 14 2011

CROSSREFS

Sequence in context: A197462 A105423 A147471 * A000200 A100744 A089892

Adjacent sequences:  A062507 A062508 A062509 * A062511 A062512 A062513

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 24 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jul 06 2001

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.