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Revision History for A324887 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
#5 by Susanna Cuyler at Sun Mar 31 00:17:39 EDT 2019
STATUS

proposed

approved

#4 by Antti Karttunen at Sat Mar 30 16:19:01 EDT 2019
STATUS

editing

proposed

#3 by Antti Karttunen at Sat Mar 30 14:20:14 EDT 2019
LINKS

Antti Karttunen, <a href="/A324887/b324887.txt">Table of n, a(n) for n = 1..210</a>

FORMULA

a(n) = A324580(A108951(n)) = a(n) = A108951(n) * A324886(n).

#2 by Antti Karttunen at Sat Mar 30 12:49:24 EDT 2019
NAME

allocated for Antti Karttunen

a(n) = A108951(n) * A276086(A108951(n)).

DATA

2, 6, 30, 36, 210, 300, 2310, 120, 1260, 2940, 30030, 15000, 510510, 50820, 21176820, 3600, 9699690, 88200, 223092870, 288120, 2232166860, 780780, 6469693230, 42000, 645668100, 17357340, 11880, 12298440, 200560490130, 66555720, 7420738134810, 672, 66899572740, 368588220, 228227900600700, 216090000, 304250263527210

OFFSET

1,1

LINKS

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

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

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

FORMULA

a(n) = A324580(A108951(n)) = a(n) = A108951(n) * A324886(n).

PROG

(PARI)

A034386(n) = prod(i=1, primepi(n), prime(i));

A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) }; \\ From A108951

A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; };

A324886(n) = A276086(A108951(n));

A324887(n) = (A324886(n)*A108951(n));

CROSSREFS

Cf. A034386, A108951, A276086, A324580, A324886, A324888.

Permutation of A324577.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, Mar 30 2019

STATUS

approved

editing

#1 by Antti Karttunen at Mon Mar 18 05:04:52 EDT 2019
NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved