A176761 Partial sums of A030001, starting at n=1.

1, 3, 35, 39, 295, 311, 33079, 33087, 37183, 38207, 1099511665983, 1099511666111, 1099511797183, 1099512059327, 1099514156479, 1099514156495, 1099648374223, 1100722116047, 1100722124239, 1100722126287, 1100722388431, 9896815410639

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

Table of n, a(n) for n=1..22.

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 A334068 A001539

Adjacent sequences: A176758 A176759 A176760 * A176762 A176763 A176764

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Apr 25 2010

Status

approved