A165659 Numerators of A007504 divided by A033955, starting from the second term of A033955.

2, 5, 5, 17, 28, 41, 58, 77, 50, 129, 16, 197, 119, 281, 164, 127, 440, 501, 568, 71, 356, 791, 46, 321, 530, 1161, 1264, 457, 1480, 1593, 344, 1851, 284, 2127, 2276, 809, 2584, 2747, 1457, 441, 1633, 1149, 3638, 3831, 1007, 4227, 4438

Offset: 1

Author

Creighton Dement, Sep 24 2009

Keywords

• easy
• nonn

Comments

Conjecture: with the exception of the second term, 2 <= a(n)/A165660(n) < 3.

Crossrefs

Cf. A007504, A033995, A002110, A102647, A165657, A165658, A165660.

Programs

PARI

a1(n)=sum(i=1, n, prime(i));
b1(n)=sum(i=1, n, prime(n+1)%prime(i));
a(n)=if(n<0, 0, numerator(a1(n)/b1(n)));
for(n=1, 50, print1(a(n) ", "))

Extensions

Typo in definition corrected by Creighton Dement, Oct 09 2009