A178138 - OEIS

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A178138

Apply partial sum operator 4 times to primes.

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

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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