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A178138 Apply partial sum operator 4 times to primes. 8
2, 11, 37, 97, 219, 444, 830, 1454, 2416, 3845, 5901, 8781, 12723, 18008, 24964, 33972, 45472, 59965, 78019, 100273, 127439, 160308, 199754, 246740, 302326, 367673, 444045, 532813, 635457, 753570, 888872, 1043214, 1218584 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Unlike the results of applying the partial sum operator once (A007504), twice (A014148), or thrice (A014150) to primes, this sequence begins with 4 primes. The next prime in the sequence is a(26) = 367673.

Row 4 in A254858. - Reinhard Zumkeller, Feb 08 2015

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(15) = 2 + 9 + 26 + 60 + 122 + 225 + 386 + 624 + 962 + 1429 + 2056 + 2880 + 3942 + 5285 + 6956 = 24964 = 2^2 x 79^2.

MAPLE

Contribution from R. J. Mathar, Oct 19 2010: (Start)

A007504 := proc(n) option remember; add( ithprime(i), i=1..n) ; end proc:

A014148 := proc(n) option remember; add( A007504(i), i=1..n) ; end proc:

A014150 := proc(n) option remember; add( A014148(i), i=1..n) ; end proc:

A178138 := proc(n) option remember; add( A014150(i), i=1..n) ; end proc: seq(A178138(n), n=1..80) ; (End)

MATHEMATICA

Nest[Accumulate[#]&, Prime[Range[40]], 4] (* Harvey P. Dale, Sep 25 2014 *)

PROG

(Haskell)

a178138 n = a178138_list !! (n-1)

a178138_list = (iterate (scanl1 (+)) a000040_list) !! 4

-- Reinhard Zumkeller, Feb 08 2015

CROSSREFS

Cf. A000040, A007504, A014148, A014150, A178138, A254784.

Cf. A254858.

Sequence in context: A263547 A152819 A297406 * A220888 A289616 A038607

Adjacent sequences:  A178135 A178136 A178137 * A178139 A178140 A178141

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, May 20 2010

STATUS

approved

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Last modified October 20 04:37 EDT 2019. Contains 328247 sequences. (Running on oeis4.)