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

1,1

Comments

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

Links

Table of n, a(n) for n=1..47.

Prog

(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) ", "))

Crossrefs

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

Sequence in context: A081235 A219586 A082534 * A154816 A367299 A140600

Adjacent sequences: A165656 A165657 A165658 * A165660 A165661 A165662

Keyword

easy,nonn

Author

Creighton Dement, Sep 24 2009

Extensions

Typo in definition corrected by Creighton Dement, Oct 09 2009

Status

approved