The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A182155 Integers of the form: 0/3 + 1/3 + 2/3 + 3/3 + 5/3 + 7/3 + 11/3 + 13/3 + 17/3 + .... 1
 0, 1, 2, 6, 14, 26, 66, 94, 147, 264, 663, 759, 916, 1089, 1213, 1343, 1554, 1706, 2113, 2473, 2661, 2861, 3069, 3285, 3513, 3747, 3989, 4497, 4763, 5039, 5323, 5911, 6217, 6527, 6849, 7179, 7690, 8227, 8790, 9566, 9966, 10995, 11423, 12076, 12974, 13438 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Numbers k such that the sum of first n nonnegative noncomposite numbers is equal to 3k. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE 1/3 + 2/3 = 1, 1/3 + 2/3 + 3/3 = 2, 1/3 + 2/3 + 3/3 + 5/3 + 7/3 = 6. MATHEMATICA s = 1; t = {0}; Do[s = s + Prime[n]; If[Mod[s, 3] == 0, AppendTo[t, s/3]], {n, 200}]; t (* T. D. Noe, Apr 18 2012 *) Select[Accumulate[Join[{0, 1/3}, Prime[Range[200]]/3]], IntegerQ] (* Harvey P. Dale, Mar 06 2016 *) CROSSREFS Cf. A007504, A154293, A158611. Sequence in context: A279742 A068042 A068041 * A101586 A178080 A121968 Adjacent sequences:  A182152 A182153 A182154 * A182156 A182157 A182158 KEYWORD nonn AUTHOR Gerasimov Sergey, Apr 15 2012 EXTENSIONS Definition corrected by Harvey P. Dale, Mar 06 2016 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.

Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)