A139238 First differences of Mersenne numbers A001348.

4, 24, 96, 1920, 6144, 122880, 393216, 7864320, 528482304, 1610612736, 135291469824, 2061584302080, 6597069766656, 131941395333120, 8866461766385664, 567453553048682496, 1729382256910270464, 145268109580462718976, 2213609288845146193920

Offset: 1

Author

Omar E. Pol, Apr 19 2008

Keywords

• easy
• nonn

Comments

Also, first differences of 2^prime(n) = A034785(n). - Wesley Ivan Hurt, Jul 02 2014

Examples

			a(2)=24 because A001348(2)=7 and A001348(2+1)=31 then 31-7 = 24.
		

Links

• Felix Fröhlich, Table of n, a(n) for n = 1..59

Crossrefs

Cf. A001348, A139228, A139231, A139234, A139239, A139240, A139241, A139242, A139243.

Cf. A034785.

Programs

Maple

A139238:=n->2^ithprime(n+1)-2^ithprime(n): seq(A139238(n), n=1..20); # Wesley Ivan Hurt, Jul 02 2014

Mathematica

Table[2^Prime[n + 1] - 2^Prime[n], {n, 20}] (* Wesley Ivan Hurt, Jul 02 2014 *)

PARI

for(n=1, 20, d=2^prime(n+1)-2^prime(n); print1(d, ", ")) \\ Felix Fröhlich, Jun 30 2014

Formula

a(n) = A001348(n+1) - A001348(n).

a(n) = A034785(n+1) - A034785(n). - Wesley Ivan Hurt, Jul 02 2014

Extensions

a(10)-a(19) from Felix Fröhlich, Jun 30 2014