A163637 The sum of all odd numbers from 2*n-1 to prime(n).

1, 3, 5, 7, 20, 24, 45, 51, 80, 144, 156, 240, 297, 315, 380, 504, 644, 672, 832, 935, 969, 1159, 1280, 1496, 1825, 1976, 2028, 2187, 2241, 2408, 3196, 3395, 3737, 3811, 4469, 4551, 4945, 5355, 5612, 6048, 6500, 6600, 7452, 7560, 7865, 7975, 9120, 10335, 10692

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Formula

a(n) = A005408(n-1)+A005408(n)+...+A000040(n).

a(n) = (A006254(n-1))^2-(n-1)^2, n>1. - R. J. Mathar, Aug 11 2009 [corrected by Jason Yuen, Oct 10 2025]

Example

a(5) = 9+11 = 20.
a(6) = 11+13 = 24.
a(7) = 13+15+17 = 45.

Crossrefs

Cf. A000040, A005408.

Sequence in context: A217651 A362417 A352710 * A336985 A360929 A228068

Adjacent sequences: A163634 A163635 A163636 * A163638 A163639 A163640

Keyword

nonn,easy

Author

Juri-Stepan Gerasimov, Aug 02 2009

Extensions

Corrected and extended by R. J. Mathar, Aug 11 2009

Status

approved