The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A340596

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Showing entries 1-10 | older changes

A340596

Number of co-balanced factorizations of n.
(history; published version)

#20 by OEIS Server at Mon Jun 10 10:01:50 EDT 2024

LINKS

Antti Karttunen, <a href="/A340596/b340596_1.txt">Table of n, a(n) for n = 1..65537</a>

#19 by Michael De Vlieger at Mon Jun 10 10:01:50 EDT 2024

STATUS

proposed

approved

Discussion

Mon Jun 10

10:01

OEIS Server: Installed first b-file as b340596.txt.

#18 by Antti Karttunen at Mon Jun 10 10:00:14 EDT 2024

STATUS

editing

proposed

Discussion

Mon Jun 10

10:01

Antti Karttunen: I extended the data-section because many different variants of the same idea, thus many nearby sequences.

#17 by Antti Karttunen at Mon Jun 10 10:00:06 EDT 2024

PROG

(PARI) A340596(n, m=n, om=omega(n)) = if(1==n, (0==om), sumdiv(n, d, if((d>1)&&(d<=m), A340596(n/d, d, om-1)))); \\ Antti Karttunen, Jun 10 2024

#16 by Antti Karttunen at Mon Jun 10 09:59:40 EDT 2024

PROG

(PARI) A340596(n, m=n, om=omega(n), e=0) = if(1==n, (0==om), sumdiv(n, d, if((d>1)&&(d<=m), A340596(n/d, d, om-1)))); \\ Antti Karttunen, Jun 10 2024

#15 by Antti Karttunen at Mon Jun 10 09:57:50 EDT 2024

LINKS

Antti Karttunen, <a href="/A340596/b340596_1.txt">Table of n, a(n) for n = 1..65537</a>

#14 by Antti Karttunen at Mon Jun 10 09:55:44 EDT 2024

DATA

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 4, 1, 2, 1, 2, 1, 3, 1, 3, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 3, 1, 4, 1, 2, 1, 1, 1, 5, 1, 2, 2, 4, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 4, 1, 1, 1, 2, 2, 1, 1, 8

PROG

(PARI) A340596(n, m=n, om=omega(n), e=0) = if(1==n, (0==om), sumdiv(n, d, if((d>1)&&(d<=m), A340596(n/d, d, om-1)))); \\ Antti Karttunen, Jun 10 2024

EXTENSIONS

Data section extended up to a(120) by Antti Karttunen, Jun 10 2024

STATUS

approved

editing

#13 by Susanna Cuyler at Tue Jan 19 09:44:42 EST 2021

STATUS

proposed

approved

#12 by Gus Wiseman at Tue Jan 19 06:03:16 EST 2021

STATUS

editing

proposed

#11 by Gus Wiseman at Tue Jan 19 06:03:05 EST 2021

CROSSREFS

- A340656 have no twice-balanced factorization.

- A340657 have a twice-balanced factorization.

Cf. A003963, A006141, A045778, A050320, A112798, A117409, A324518, A339846, A339890, A340607, A340656, A340657.