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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A288656 a(n) = Sum_{k=1..n} Sum_{i=floor((k-1)/2)..k-1)} i * A010051(i). 1
0, 0, 0, 2, 7, 12, 22, 30, 45, 57, 69, 81, 104, 122, 153, 184, 215, 239, 280, 321, 381, 441, 501, 561, 644, 716, 788, 860, 932, 991, 1079, 1167, 1286, 1405, 1524, 1643, 1762, 1864, 2003, 2142, 2281, 2401, 2562, 2723, 2927, 3131, 3335, 3539, 3790, 4018, 4246, 4474, 4702, 4930, 5211, 5492, 5773, 6054, 6335, 6616, 6956, 7267, 7639 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sum of all the primes appearing in columns less than or equal to n from the example in A258087.

LINKS

Table of n, a(n) for n=0..62.

MAPLE

with(numtheory): A288656:=n->add(add(i*(pi(i)-pi(i-1)), i=floor((k-1)/2)..k-1), k=1..n): seq(A288656(n), n=0..100);

MATHEMATICA

Table[Sum[Sum[i (PrimePi[i] - PrimePi[i - 1]), {i, Floor[(k - 1)/2], k - 1}], {k, n}], {n, 0, 62}] (* Michael De Vlieger, Jun 15 2017 *)

CROSSREFS

Cf. A010051, A258087.

Partial Sums of A288726.

Sequence in context: A119713 A213041 A135541 * A180804 A122264 A079824

Adjacent sequences:  A288653 A288654 A288655 * A288657 A288658 A288659

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Jun 12 2017

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 16 01:36 EST 2017. Contains 296063 sequences.