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Search: a295314 -id:a295314
Displaying 1-3 of 3 results found. page 1
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A295311 a(n) = n / A295310(n) = n / gcd(n, phi(sigma(n))). +10
4
1, 1, 3, 2, 5, 3, 7, 1, 3, 5, 11, 1, 13, 7, 15, 8, 17, 3, 19, 5, 21, 11, 23, 3, 5, 13, 27, 7, 29, 5, 31, 8, 33, 17, 35, 1, 37, 19, 13, 5, 41, 21, 43, 11, 15, 23, 47, 4, 49, 5, 17, 26, 53, 27, 55, 7, 57, 29, 59, 5, 61, 31, 21, 32, 65, 11, 67, 17, 69, 35, 71, 3, 73, 37, 5, 19, 77, 13, 79, 4, 81, 41, 83, 7, 85, 43, 87, 11, 89, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..16384
PROG
(PARI) a(n) = n/gcd(n, eulerphi(sigma(n))); \\ Michel Marcus, Nov 23 2017
CROSSREFS
Cf. A000010, A000203, A062401, A295301, A295310, A295312, A295314.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 22 2017
STATUS
approved
A295313 a(n) = gcd(sigma(n), phi(sigma(n))). +10
4
1, 1, 2, 1, 2, 4, 4, 1, 1, 6, 4, 4, 2, 8, 8, 1, 6, 3, 4, 6, 16, 12, 8, 4, 1, 6, 8, 8, 2, 24, 16, 9, 16, 18, 16, 1, 2, 4, 8, 6, 6, 32, 4, 12, 6, 24, 16, 4, 3, 3, 24, 14, 18, 8, 24, 8, 16, 6, 4, 24, 2, 32, 8, 1, 12, 48, 4, 18, 32, 48, 24, 3, 2, 6, 4, 4, 32, 24, 16, 6, 11, 18, 12, 32, 36, 4, 8, 12, 6, 18, 16, 24, 64, 48, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..16384
FORMULA
a(n) = A009195(A000203(n)).
PROG
(PARI) a(n) = my(sn = sigma(n)); gcd(sn, eulerphi(sn)); \\ Michel Marcus, Nov 23 2017
CROSSREFS
Cf. A000010, A000203, A009195, A295311, A295314, A295315.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 22 2017
STATUS
approved
A295315 a(n) = phi(sigma(n)) / gcd(sigma(n), phi(sigma(n))). +10
4
1, 2, 1, 6, 1, 1, 1, 8, 12, 1, 1, 3, 3, 1, 1, 30, 1, 8, 2, 2, 1, 1, 1, 4, 30, 2, 2, 3, 4, 1, 1, 4, 1, 1, 1, 72, 9, 4, 3, 4, 2, 1, 5, 2, 4, 1, 1, 15, 12, 20, 1, 3, 1, 4, 1, 4, 2, 4, 4, 2, 15, 1, 6, 126, 2, 1, 8, 2, 1, 1, 1, 32, 18, 6, 15, 12, 1, 2, 2, 10, 10, 2, 2, 3, 1, 10, 4, 4, 4, 4, 3, 2, 1, 1, 4, 2, 3, 12, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..16384
FORMULA
a(n) = A062401(n) / A295313(n) = A062401(n) / A009195(A000203(n)).
a(n) = A076512(A000203(n)).
PROG
(PARI) a(n) = my(sn = sigma(n)); eulerphi(sn) / gcd(sn, eulerphi(sn)); \\ Michel Marcus, Nov 23 2017
CROSSREFS
Cf. A000010, A000203, A009195, A062401, A076512, A295312, A295313, A295314.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 22 2017
STATUS
approved
page 1

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Last modified August 30 07:09 EDT 2024. Contains 375532 sequences. (Running on oeis4.)