A318881 -id:A318881 - cp's OEIS frontend

A319342 a(n) = Product_{d|n, dA318881(d)), where A318881(d) records the prime signature of A000010(d).

1, 2, 2, 4, 2, 12, 2, 12, 6, 20, 2, 108, 2, 28, 30, 60, 2, 252, 2, 300, 42, 28, 2, 2700, 10, 44, 42, 588, 2, 11700, 2, 780, 42, 68, 70, 26460, 2, 44, 66, 19500, 2, 19404, 2, 588, 2730, 28, 2, 456300, 14, 1100, 102, 1452, 2, 19404, 70, 32340, 66, 44, 2, 29659500, 2, 76, 3234, 13260, 110, 19404, 2, 3468, 42, 112700, 2, 18918900, 2, 116

Offset: 1

Antti Karttunen, Sep 17 2018

nonn

Antti Karttunen, Table of n, a(n) for n = 1..8192

Cf. A318881, A319343 (rgs-transform), A319344.

Cf. also A305982.

A319342(n) = { my(m=1); fordiv(n, d, if((dA318881(d)))); (m); }; \\ Needs also code from A318881

a(n) = Product_{d|n, dA318881(d)).

A319344 a(n) = Product_{d|n, d>1} prime(A318881(d)), where A318881(d) records the prime signature of A000010(d).

Original entry on oeis.org

1, 2, 3, 6, 5, 18, 7, 30, 21, 50, 7, 270, 11, 98, 195, 390, 17, 882, 11, 1950, 231, 98, 7, 17550, 55, 242, 231, 3234, 11, 76050, 19, 6630, 231, 578, 805, 145530, 29, 242, 759, 165750, 23, 106722, 19, 3234, 31395, 98, 7, 3878550, 133, 6050, 1581, 16698, 11, 106722, 805, 371910, 957, 242, 7, 252105750, 37, 722, 46893, 205530, 2255, 106722, 19

Offset: 1

Antti Karttunen, Sep 17 2018

nonn

Antti Karttunen, Table of n, a(n) for n = 1..8192

Cf. A318881, A319342, A319345 (rgs-transform).

Cf. also A305984.

A319344(n) = { my(m=1); fordiv(n, d, if((d>1), m *= prime(A318881(d)))); (m); }; \\ Needs also code from A318881

a(n) = Product_{d|n, d>1} prime(A318881(d)).

A319343 Filter sequence combining the prime signature of phi(d) from all proper divisors d of n.

Original entry on oeis.org

1, 2, 2, 3, 2, 4, 2, 4, 5, 6, 2, 7, 2, 8, 9, 10, 2, 11, 2, 12, 13, 8, 2, 14, 15, 16, 13, 17, 2, 18, 2, 19, 13, 20, 21, 22, 2, 16, 23, 24, 2, 25, 2, 17, 26, 8, 2, 27, 28, 29, 30, 31, 2, 25, 21, 32, 23, 16, 2, 33, 2, 34, 35, 36, 37, 25, 2, 38, 13, 39, 2, 40, 2, 41, 42, 31, 43, 44, 2, 45, 46, 47, 2, 48, 49, 34, 23, 32, 2, 50, 51, 17, 52, 8, 37, 53, 2, 54, 35

Offset: 1

Antti Karttunen, Sep 17 2018

nonn

Restricted growth sequence transform of A319342.

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A318881, A319342, A319345.

Cf. also A305983.

up_to = 65537;
A319342(n) = { my(m=1); fordiv(n, d, if((dA318881(d)))); (m); }; \\ Needs also code from A318881
v319343 = rgs_transform(vector(up_to,n,A319342(n)));
A319343(n) = v319343[n];

A319345 Filter sequence combining the prime signature of phi(d) from all divisors d > 1 of n.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 7, 11, 12, 13, 14, 15, 16, 17, 12, 18, 19, 13, 7, 20, 21, 22, 19, 23, 12, 24, 25, 26, 19, 27, 28, 29, 30, 22, 31, 32, 33, 34, 25, 23, 35, 13, 7, 36, 37, 38, 39, 40, 12, 34, 28, 41, 42, 22, 7, 43, 44, 45, 46, 47, 48, 34, 25, 49, 19, 50, 25, 51, 52, 53, 54, 55, 56, 57, 25, 58, 59, 60, 7, 61, 62, 45, 31, 41, 33, 63, 64, 23, 65, 13

Offset: 1

Antti Karttunen, Sep 17 2018

nonn

Restricted growth sequence transform of A319344.

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A318881, A319343, A319344.

Cf. also A305985.

up_to = 65537;
A319344(n) = { my(m=1); fordiv(n, d, if((d>1), m *= prime(A318881(d)))); (m); }; \\ Needs also code from A318881
v319345 = rgs_transform(vector(up_to,n,A319344(n)));
A319345(n) = v319345[n];

cp's OEIS Frontend

A319342 a(n) = Product_{d|n, dA318881(d)), where A318881(d) records the prime signature of A000010(d).

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Formula

A319344 a(n) = Product_{d|n, d>1} prime(A318881(d)), where A318881(d) records the prime signature of A000010(d).

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Author

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Programs

PARI

Formula

A319343 Filter sequence combining the prime signature of phi(d) from all proper divisors d of n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

A319345 Filter sequence combining the prime signature of phi(d) from all divisors d > 1 of n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI