cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A120833 Numerators of partial sums of (p+q)/p*q, where p and q are primes.

Original entry on oeis.org

1, 11, 37, 359, 4211, 21569, 26861, 404633, 486533, 543317, 620537, 12904043, 14719493, 15845813, 34726021, 185083001, 206868401, 222740621, 61034249, 715725589, 23180285059, 24177226459, 8697796903, 9167200453, 9502812653
Offset: 1

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Author

Reinhard Zumkeller, Jul 24 2006

Keywords

Comments

Denominators: A120834(n);
a(n)/A120834(n) = Sum(A001358(n)/A068318(n):1<=k<=n).

Examples

			n=5: 2*2/(2+2)+2*3/(2+3)+3*3/(3+3)+2*5/(2+5)+2*7/(2+7) =
4/4 + 6/5 + 9/6 + 10/7 + 14/9 = 4211/630 = a(5)/A120834(5).

Crossrefs

Cf. A120836, A120831.

A120834 Denominators of partial sums of (p+q)/p*q, where p and q are primes.

Original entry on oeis.org

1, 5, 10, 70, 630, 2520, 2520, 32760, 32760, 32760, 32760, 622440, 622440, 622440, 1244880, 6224400, 6224400, 6224400, 1556100, 17117100, 530630100, 530630100, 176876700, 176876700, 176876700
Offset: 1

Views

Author

Reinhard Zumkeller, Jul 24 2006

Keywords

Comments

Numerators: A120833(n);
A120833(n)/a(n) = Sum(A001358(n)/A068318(n):1<=k<=n).

Examples

			n=5: 2*2/(2+2)+2*3/(2+3)+3*3/(3+3)+2*5/(2+5)+2*7/(2+7) =
4/4 + 6/5 + 9/6 + 10/7 + 14/9 = 4211/630 = A120833(5)/a(5).

Crossrefs

Cf. A120836, A120832.

A120835 Integer parts of partial sums of (p+q)/p*q, with primes p and q.

Original entry on oeis.org

1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30
Offset: 1

Views

Author

Reinhard Zumkeller, Jul 24 2006

Keywords

Comments

a(n) = floor(A120831(n)/A120832(n)).

Crossrefs

Cf. A120836.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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