The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A379501 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A379501

a(n) = (3/2)*A019565((2n-1)^2) - A019565(A001065((2n-1)^2)), where A019565 is the base-2 exp-function, and A001065 is the sum of proper divisors of n.
(history; published version)

#16 by OEIS Server at Sun Jan 05 22:38:56 EST 2025

LINKS

Antti Karttunen, <a href="/A379501/b379501_1.txt">Table of n, a(n) for n = 1..16384</a>

#15 by Michael De Vlieger at Sun Jan 05 22:38:56 EST 2025

STATUS

proposed

approved

Discussion

Sun Jan 05

22:38

OEIS Server: Installed first b-file as b379501.txt.

#14 by Antti Karttunen at Sun Jan 05 16:44:31 EST 2025

STATUS

editing

proposed

#13 by Antti Karttunen at Sun Jan 05 16:40:13 EST 2025

COMMENTS

Function f(n) = (3/2)*A019565(n) - A019565(A001065(n)) [= A019565(1+n) - A019565(A001065(n))] applied to odd squares, A016754.

#12 by Antti Karttunen at Sun Jan 05 16:39:32 EST 2025

FORMULA

a(n) = A379496(A016754(n)) = A019565(1+A016754(n)) - A379495(A016754(n)).

a(n) = A019565(1+A016754(n)) - A379495(A016754(n)).

STATUS

proposed

editing

#11 by Antti Karttunen at Sun Jan 05 15:56:21 EST 2025

STATUS

editing

proposed

#10 by Antti Karttunen at Sun Jan 05 15:56:16 EST 2025

CROSSREFS

Cf. also A378231, A337339.

STATUS

proposed

editing

#9 by Antti Karttunen at Sun Jan 05 15:49:28 EST 2025

STATUS

editing

proposed

#8 by Antti Karttunen at Sun Jan 05 15:49:12 EST 2025

FORMULA

a(n) = A019565(1+A016754(n)) - A379495(A016754(n)).

STATUS

proposed

editing

#7 by Antti Karttunen at Sun Jan 05 15:47:28 EST 2025

STATUS

editing

proposed