login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A014148 Apply partial sum operator twice to sequence of primes. 13
2, 7, 17, 34, 62, 103, 161, 238, 338, 467, 627, 824, 1062, 1343, 1671, 2052, 2492, 2993, 3561, 4200, 4912, 5703, 6577, 7540, 8600, 9761, 11025, 12396, 13876, 15469, 17189, 19040, 21028, 23155, 25431, 27858, 30442, 33189, 36103, 39190, 42456, 45903 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that a(n) is prime are listed in A122381[n] = {1, 2, 3, 6, 10, 23, 31, 46, 55, 58, 66, 70, 82, 91, 118, 131, 151, 163, 182, 187, 198, 199, ...}. Corresponding primes a(n) = a( A122381[n] ) = A122382[n] = {2, 7, 17, 103, 467, 6577, 17189, 61627, 109919, 130531, 198109, 239579, 399557, 559313, ...}. - Alexander Adamchuk, Aug 30 2006

Row 2 in A254858. - Reinhard Zumkeller, Feb 08 2015

Partial sums of A007504, n>=1. - Omar E. Pol, Nov 23 2016

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..10000 [extending prior b-File from Alexander Adamchuk]

FORMULA

a(n) = Sum[ Sum[ Prime[k], {k,1,m} ], {m,1,n}].

Convolution of the primes with the positive integers: Sum[ (n-k+1)*Prime[k], {k,1,n} ]. - David Scambler, Oct 08 2006

MATHEMATICA

Table[Sum[Sum[Prime[k], {k, 1, m}], {m, 1, n}], {n, 1, 100}] - Alexander Adamchuk, Aug 30 2006

Accumulate[Accumulate[Prime[Range[50]]]] (* Harvey P. Dale, Dec 29 2011 *)

PROG

(Haskell)

a014148 n = a014148_list !! (n-1)

a014148_list = (iterate (scanl1 (+)) a000040_list) !! 2

-- Reinhard Zumkeller, Feb 08 2015

CROSSREFS

Cf. A000040, A007504, A014150, A122381, A122382, A178138, A254784, A254858.

Sequence in context: A294866 A045947 A145066 * A070070 A318054 A033937

Adjacent sequences:  A014145 A014146 A014147 * A014149 A014150 A014151

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Alexander Adamchuk, Aug 30 2006

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 18 18:07 EST 2018. Contains 318243 sequences. (Running on oeis4.)