A165660 Denominators of A007504 divided by A033955, starting from the second term of A033955.

1, 3, 2, 8, 13, 18, 27, 29, 23, 56, 7, 74, 44, 98, 67, 49, 171, 200, 217, 28, 137, 309, 17, 116, 209, 448, 471, 174, 571, 629, 137, 739, 111, 793, 853, 318, 997, 1002, 560, 164, 610, 446, 1419, 1466, 385, 1615, 1573, 1633, 1707, 1825, 946, 662, 2221, 781, 1198

Offset: 1

Author

Creighton Dement, Sep 24 2009

Keywords

• easy
• nonn

Comments

Conjecture: with the exception of the second term, 2 <= A165659(n)/a(n) < 3.

Crossrefs

Cf. A007504, A033995, A002110, A102647, A165657, A165658, A165659

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, denominator(a1(n)/b1(n))); for(n=1, 50, print1(a(n) ", "))

Extensions

Terms corrected by Creighton Dement, Oct 03 2009

Removed a conjecture - R. J. Mathar, Oct 09 2009

Typo in definition corrected by Creighton Dement, Oct 09 2009