A173762 Partial sums of A000133.

2, 7, 37, 2325, 67174677, 144115192370888981, 1329227995784915891350551138284929301, 226156424291633194186662080095093570366200305721017690121386945275228127509

Offset

1,1

Comments

Partial sums of number of Boolean functions of n variables. The subsequence of primes in this partial sum begins: 2, 7, 37, 1329227995784915891350551138284929301. What is the next such prime?

Links

Table of n, a(n) for n=1..8.

Formula

a(n) = SUM[i=1..n] A000133(i) = SUM[i=1..n] (2^(2^i)+(2^i-1)*2^(2^(i-1)+1))/2^(i+1).

Example

a(8) = 2 + 5 + 30 + 2288 + 67172352 + 144115192303714304 + 1329227995784915891206435945914040320 + 226156424291633194186662080095093570364871077725232774230036394136943198208.

Crossrefs

Cf. A000133.

Sequence in context: A342412 A196916 A182331 * A180269 A036432 A275621

Adjacent sequences: A173759 A173760 A173761 * A173763 A173764 A173765

Keyword

easy,nonn

Author

Jonathan Vos Post, Feb 23 2010

Status

approved