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Revision History for A305793 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A305793 Restricted growth sequence transform of A305792, a filter sequence constructed from binary expansions of the proper divisors of n.
(history; published version)
#12 by Susanna Cuyler at Tue Jun 12 10:17:05 EDT 2018
STATUS

proposed

approved

#11 by Antti Karttunen at Mon Jun 11 17:55:22 EDT 2018
STATUS

editing

proposed

#10 by Antti Karttunen at Mon Jun 11 17:54:55 EDT 2018
CROSSREFS

Cf. A278222, A286622, A305792, A305795.

#9 by Antti Karttunen at Mon Jun 11 17:29:34 EDT 2018
PROG

\\ Needs also code from A286622:

A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };

A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523

A278222(n) = A046523(A005940(1+n));

v286622 = rgs_transform(vector(1+up_to, n, A278222(n-1)));

A286622(n) = v286622[1+n];

#8 by Antti Karttunen at Mon Jun 11 17:15:34 EDT 2018
NAME

Restricted growth sequence transform of A305792,, a filter sequence constructed from binary expansions of the proper divisors of n.

LINKS

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

#7 by Antti Karttunen at Mon Jun 11 17:10:24 EDT 2018
CROSSREFS

Cf. also A293215, A300833, A304103, A305813.

#6 by Antti Karttunen at Mon Jun 11 14:47:19 EDT 2018
FORMULA

For all i, j:

For all i, j: a(i) = a(j) => A292257A000005(i) = A292257A000005(j).

a(i) = a(j) => A292257(i) = A292257(j).

a(i) = a(j) => A305426(i) = A305426(j).

a(i) = a(j) => A305435(i) = A305435(j).

#5 by Antti Karttunen at Mon Jun 11 13:35:40 EDT 2018
LINKS

Antti Karttunen, <a href="/A305793/b305793.txt">Table of n, a(n) for n = 1..65537</a>

#4 by Antti Karttunen at Mon Jun 11 13:33:36 EDT 2018
FORMULA

For all i, j: a(i) = a(j) => A292257(i) = A292257(j).

#3 by Antti Karttunen at Mon Jun 11 13:00:54 EDT 2018
CROSSREFS

Cf. also A293215, A300833, A304103.

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