A330820 - OEIS

A330820

Numbers of the form (M_p^2-1)^2, where M_p is a Mersenne prime, A000668. Also the second element of the power-spectral basis of A330817.

64, 2304, 921600, 260112384, 4501400872550400, 295138898048817561600, 75557287266261531623424

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The first element of the power-spectral basis of A330817 is A330819.

LINKS

FORMULA

a(n) = (A000668(n)^2-1)^2.

EXAMPLE

If n=1, a(1)=(3^2-1)^2=64.

MAPLE

for www to 1 do

for i from 1 to 31 do

#ithprime(31)=127

p:=ithprime(i);

q:=2^p-1;

if isprime(q) then x:=(q^2-1)^2; A330820:=[op(A330820), x] fi;

od;

MATHEMATICA

Array[((2^MersennePrimeExponent[#] - 1)^2 - 1)^2 &, 10] (* Amiram Eldar, Jan 07 2020 *)

CROSSREFS

KEYWORD

nonn

AUTHOR

STATUS

approved