A161778 The A161671(n)-th partial sum of A161671.

4, 4, 2, 2, 5, 6, 20, 20, 36, 127, 152, 290, 376, 423, 590, 857, 1279, 1379, 1928, 2308, 2308, 2859, 3339, 4200, 5579, 6252, 6252, 6968, 7223, 7738, 11232, 12206, 13913, 13913, 17338, 17753, 19914, 22191, 23130, 25561, 28102, 28625, 33642, 33642, 34814

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Formula

a(n) = Sum_{j=1..A161671(n)} A161671(j) = A163116(A161671(n)).

Example

a(1) = A163116(A161671(1)) = A163116(2) = 4.
a(2) = A163116(A161671(2)) = A163116(2) = 4.
a(5) = A163116(A161671(5)) = A163116(3) = 5.

Maple

A141468 := proc(n) option remember ; if n <= 2 then n-1 ; else for a from procname(n-1)+1 do if not isprime(a) then RETURN(a) ; fi; od: fi; end:
A161671 := proc(n) ithprime(n)-A141468(n) ; end:
A161778 := proc(n) add( A161671(j), j=1..A161671(n)) ; end: seq(A161778(n), n=1..90) ; # R. J. Mathar, Oct 04 2009

Crossrefs

Cf. A000040, A141468, A161671.

Sequence in context: A029676 A105190 A002581 * A099655 A375187 A276149

Adjacent sequences: A161775 A161776 A161777 * A161779 A161780 A161781

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Jun 19 2009

Extensions

Edited, corrected from a(15) on, and extended by R. J. Mathar, Oct 04 2009

Status

approved