The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A324827

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A324827

Number of divisors d of n such that A323243(d) is either 2 or 3 (mod 4).
(history; published version)

#7 by Susanna Cuyler at Sat Mar 16 21:45:47 EDT 2019

STATUS

proposed

approved

#6 by Antti Karttunen at Sat Mar 16 16:58:01 EDT 2019

STATUS

editing

proposed

#5 by Antti Karttunen at Sat Mar 16 13:02:49 EDT 2019

LINKS

Antti Karttunen, <a href="/A324827/b324827.txt">Table of n, a(n) for n = 1..10000</a> (based on Hans Havermann's factorization of A156552)

#4 by Antti Karttunen at Sat Mar 16 12:58:50 EDT 2019

LINKS

Antti Karttunen, <a href="/A324827/b324827.txt">Table of n, a(n) for n = 1..10000</a>

#3 by Antti Karttunen at Sat Mar 16 11:04:01 EDT 2019

FORMULA

a(n) = A000005(n) - A324826(n).

a(p) = 1 for all odd primes p.

#2 by Antti Karttunen at Sat Mar 16 11:01:44 EDT 2019

NAME

allocated for Antti KarttunenNumber of divisors d of n such that A323243(d) is either 2 or 3 (mod 4).

DATA

0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 3, 0, 1, 3, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 1, 4, 1, 0, 3, 1, 3, 3, 1, 2, 2, 1, 1, 6, 1, 1, 3, 1, 1, 2, 1, 2, 2, 1, 1, 4, 3, 2, 2, 2, 1, 4, 1, 1, 3, 0, 3, 4, 1, 1, 3, 5, 1, 3, 1, 1, 4, 2, 3, 3, 1, 1, 1, 1, 1, 6, 2, 1, 2, 1, 1, 6, 3, 1, 3, 1, 2, 2, 1, 2, 3, 2, 1, 4, 1, 1, 6

OFFSET

1,6

LINKS

<a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

<a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

<a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

FORMULA

a(n) = A000005(n) - A324826(n)

PROG

(PARI) A324827(n) = sumdiv(n, d, ((A323243(d)%4)>1));

CROSSREFS

Cf. A000005, A324825, A324826, A324830, A324831, A324832.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Mar 16 2019

STATUS

approved

editing

#1 by Antti Karttunen at Sat Mar 16 06:25:12 EDT 2019

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved