A163637 - OEIS

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A163637

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

0

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

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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-A000079(n-1), n>1. - R. J. Mathar, Aug 11 2009

EXAMPLE

a(5)=9+11=20. a(6)=11+13=24. a(7)=15+17+19=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