The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A098859 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A098859

Number of partitions of n into parts each of which is used a different number of times.
(history; published version)

#90 by Andrey Zabolotskiy at Wed Jan 08 10:09:52 EST 2025

STATUS

editing

approved

#89 by Andrey Zabolotskiy at Wed Jan 08 10:09:49 EST 2025

LINKS

Doron Zeilberger, <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/dmp.html">Using generatingfunctionology to enumerate distinct-multiplicity partitions</a>; <a href="/A098859/a098859.pdf">Local copy</a> [Pdf file only, no active links]

STATUS

approved

editing

#88 by N. J. A. Sloane at Sun Mar 28 23:42:35 EDT 2021

STATUS

editing

approved

#87 by N. J. A. Sloane at Sun Mar 28 23:42:33 EDT 2021

LINKS

N. J. A. Sloane, <a href="/A098859/a098859.pdf">TITLE FOR LINK</a>

STATUS

approved

editing

#86 by N. J. A. Sloane at Sun Mar 28 23:41:32 EDT 2021

STATUS

editing

approved

#85 by N. J. A. Sloane at Sun Mar 28 23:41:27 EDT 2021

LINKS

N. J. A. Sloane, <a href="/A098859/a098859.pdf">TITLE FOR LINK</a>

STATUS

approved

editing

#84 by Sean A. Irvine at Sat Aug 31 22:25:36 EDT 2019

STATUS

reviewed

approved

#83 by Peter Luschny at Sat Aug 31 15:29:32 EDT 2019

STATUS

proposed

reviewed

#82 by Andrew Howroyd at Sat Aug 31 12:51:50 EDT 2019

STATUS

editing

proposed

#81 by Andrew Howroyd at Sat Aug 31 12:28:29 EDT 2019

PROG

(PARI) a(n)={((r, k, b, w)->if(!k||!r, if(r, 0, 1), sum(m=0, r\k, if(!m || !bittest(b, m), self()(r-k*m, k-1, bitor(b, 1<<m), w+m)))))(n, n, 1, 0)} \\ Andrew Howroyd, Aug 31 2019

STATUS

approved

editing