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A161626 Sum of all numbers from 2*n-1 up to prime(n). 1

%I #6 May 04 2019 21:49:45

%S 3,3,5,7,30,36,75,85,140,264,286,450,561,595,722,966,1242,1296,1612,

%T 1815,1881,2257,2496,2924,3577,3876,3978,4293,4399,4730,6298,6693,

%U 7373,7519,8829,8991,9775,10591,11102,11970,12870,13068,14766,14980,15587,15805

%N Sum of all numbers from 2*n-1 up to prime(n).

%F a(n) = A000217(A000040(n)) - A000217(2*n-2).

%e a(1) = 1+2 = 3;

%e a(2) = 3;

%e a(3) = 5;

%e a(5) = 9+10+11 = 30.

%p A000217 := proc(n) n*(n+1) /2 ; end:

%p A161626 := proc(n) A000217(ithprime(n))-A000217(2*n-2) ; end: seq(A161626(n),n=1..120) ; # _R. J. Mathar_, Oct 02 2009

%Y Cf. A000027, A000040, A161570.

%K nonn,easy

%O 1,1

%A _Juri-Stepan Gerasimov_, Jun 15 2009

%E Edited and corrected by _R. J. Mathar_, Oct 02 2009

%E Inserted a zero in an A-number - _R. J. Mathar_, Oct 23 2009

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Last modified April 18 09:32 EDT 2024. Contains 371773 sequences. (Running on oeis4.)