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A178537 (2n+1)^(2n+1) mod 2^(2n+1). 7
1, 3, 21, 119, 329, 339, 1533, 2031, 67857, 68491, 1472837, 7105255, 20933977, 91061443, 344607757, 137379807, 942687265, 22093239035, 115763405909, 23058549975, 581930881897, 8126485230643, 18131637168157, 69459897210831, 12202023051569, 1785877136688747, 4676672234192229, 4337085752026823, 51543753266508665, 431102794881380259, 338696479165696557 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 0..1000

FORMULA

a(n)=A000312(2n+1) mod A000079(2n+1).

MAPLE

A178537 := proc(n)

local o ;

o := 2*n+1 ;

modp(o &^ o, 2^o) ;

end proc: # R. J. Mathar, Oct 10 2014

MATHEMATICA

f[n_] := PowerMod[2n +1, 2n +1, 2^(2n +1)]; Array[f, 25, 0] (* Robert G. Wilson v, Dec 13 2016*)

PROG

(PARI) a(n)=lift(Mod(2*n+1, 2^(2*n+1))^(2*n+1)) \\ Charles R Greathouse IV, Dec 13 2016

CROSSREFS

Cf. A000079, A000312.

Sequence in context: A121140 A005057 A092634 * A084159 A046727 A283421

Adjacent sequences: A178534 A178535 A178536 * A178538 A178539 A178540

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Dec 24 2010

STATUS

approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)