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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A176761 Partial sums of A030001, starting at n=1. 0
 1, 3, 35, 39, 295, 311, 33079, 33087, 37183, 38207, 1099511665983, 1099511666111, 1099511797183, 1099512059327, 1099514156479, 1099514156495, 1099648374223, 1100722116047, 1100722124239, 1100722126287, 1100722388431, 9896815410639 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Partial sums of smallest power of 2 whose decimal expansion contains n. One may see this sequence expressed in binary, rather than decimal, for clarity, though "carries" obscure the characteristic function aspects of structure. The subsequence of primes in this partial sum begins: 3, 311, 1100722116047, 1100722388431. LINKS FORMULA a(n) = SUM[i=1..n] A030001(i). EXAMPLE a(6) = 1 + 2 + 32 + 4 + 256 + 16 = 311 is prime. CROSSREFS Cf. A030000, A030001. Sequence in context: A180126 A214854 A054287 * A246824 A001539 A113854 Adjacent sequences:  A176758 A176759 A176760 * A176762 A176763 A176764 KEYWORD base,easy,nonn AUTHOR Jonathan Vos Post, Apr 25 2010 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 April 7 13:36 EDT 2020. Contains 333305 sequences. (Running on oeis4.)