A139301 a(n) = (2^(2p - 1)/8)-1, where p is the n-th Mersenne prime A000668(n).

3, 1023, 288230376151711743, 1809251394333065553493296640760748560207343510400633813116524750123642650623

Offset: 1

Author

Omar E. Pol, Apr 13 2008

Keywords

• nonn

Crossrefs

Cf. A000668, A139294, A139295, A139296, A139297, A139298, A139299, A139300, A139302, A139303, A139304, A139305, A139306.

Programs

Mathematica

a[n_] := 2^(2^(MersennePrimeExponent[n] + 1) - 6) - 1; Array[a, 4] (* Amiram Eldar, Jul 10 2025 *)

Formula

a(n) = (2^(2*A000668(n)-1)/8)-1 = (A139294(n)/8)-1.

Extensions

a(4) from Amiram Eldar, Jul 10 2025