The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A373361 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A373361

a(n) = gcd(n, A276085(n)), where A276085 is the primorial base log-function.
(history; published version)

#9 by OEIS Server at Sun Jun 02 17:34:31 EDT 2024

LINKS

Antti Karttunen, <a href="/A373361/b373361_1.txt">Table of n, a(n) for n = 1..65537</a>

#8 by Michael De Vlieger at Sun Jun 02 17:34:31 EDT 2024

STATUS

proposed

approved

Discussion

Sun Jun 02

17:34

OEIS Server: Installed first b-file as b373361.txt.

#7 by Antti Karttunen at Sun Jun 02 16:19:04 EDT 2024

STATUS

editing

proposed

#6 by Antti Karttunen at Sun Jun 02 15:58:24 EDT 2024

LINKS

Antti Karttunen, <a href="/A373361/b373361_1.txt">Table of n, a(n) for n = 1..65537</a>

<a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>

#5 by Antti Karttunen at Sun Jun 02 15:27:00 EDT 2024

CROSSREFS

Cf. also A324198, A373145, A373362.

#4 by Antti Karttunen at Sun Jun 02 15:12:45 EDT 2024

CROSSREFS

Cf. A108269 (positions of even terms), A328981 (their characteristic function), A359794 (positions of odd terms), A359832 (their characteristic function, parity of terms).

#3 by Antti Karttunen at Sun Jun 02 15:07:32 EDT 2024

NAME

allocated for Antti Karttunena(n) = gcd(n, A276085(n)), where A276085 is the primorial base log-function.

DATA

1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 4, 1, 3, 1, 1, 1, 1, 1, 6, 1, 19, 1, 1, 1, 3, 1, 4, 5, 1, 1, 6, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 2, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 10, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 13, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1

OFFSET

1,4

PROG

(PARI)

A002110(n) = prod(i=1, n, prime(i));

A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };

A373361(n) = gcd(n, A276085(n));

CROSSREFS

Cf. A002110, A276085.

Cf. also A324198, A373145.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Jun 02 2024

STATUS

approved

editing

#2 by Antti Karttunen at Sun Jun 02 15:03:11 EDT 2024

KEYWORD

allocating

allocated

#1 by Antti Karttunen at Sun Jun 02 15:03:11 EDT 2024

NAME

allocated for Antti Karttunen

KEYWORD

allocating

STATUS

approved