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A351234
a(n) =
A276085
(gcd(
A003415
(n),
A276086
(n))).
5
0, 1, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 7, 0, 0, 0, 7, 8, 2, 0, 0, 0, 0, 0, 31, 0, 3, 6, 0, 32, 1, 0, 0, 0, 0, 2, 2, 12, 0, 30, 31, 8, 7, 30, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 5, 0, 0, 2, 1, 0, 0, 0, 0, 2, 6, 6, 5, 0, 0, 0, 3, 0, 0, 0, 1, 8, 1, 36, 0, 0, 1, 2, 1, 60, 3, 0, 0, 30, 8, 36, 0, 30
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OFFSET
0,7
LINKS
Antti Karttunen,
Table of n, a(n) for n = 0..11550
Index entries for sequences related to primorial base
FORMULA
a(n) =
A276085
(
A327858
(n)) =
A276085
(gcd(
A003415
(n),
A276086
(n))).
a(n) = n -
A351233
(n).
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)); };
A003415
(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086
(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A327858
(n) = gcd(
A003415
(n),
A276086
(n));
A351234
(n) =
A276085
(
A327858
(n));
CROSSREFS
Cf.
A003415
,
A276085
,
A276086
,
A327858
,
A351233
.
Cf. also
A351254
.
Sequence in context:
A129106
A070062
A274542
*
A327837
A261166
A393457
Adjacent sequences:
A351231
A351232
A351233
*
A351235
A351236
A351237
KEYWORD
nonn
,
base
,
easy
AUTHOR
Antti Karttunen
, Feb 05 2022
STATUS
approved
