A324577 - OEIS

A324577

a(n) = A025487(n) * A324576(n) = A025487(n) * A276086(A025487(n)).

2, 6, 36, 30, 120, 300, 3600, 15000, 210, 672, 1260, 42000, 2940, 28224, 88200, 164640, 288120, 4609920, 216090000, 21176820, 564715200, 2310, 11880, 18480, 4435200, 19404000, 66555720, 44370480000, 50820, 1306800, 2845920, 63748608, 5856903360, 328703760, 306790176000, 12298440, 7906140000, 645668100, 33746919360, 15874550866944

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OFFSET

1,1

COMMENTS

Note that A324198(A025487(n)) = gcd(A025487(n), A324576(n)) = 1 for all n, because each term of A025487 is a product of primorials.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10001

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

FORMULA

a(n) = A025487(n) * A324576(n) = A025487(n) * A276086(A025487(n)).

a(n) = A324580(A025487(n)).

PROG

(PARI)

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; };

A324577(n) = A025487(n)*A276086(A025487(n));

CROSSREFS

Cf. A025487, A276086, A324198, A324576, A324579, A324580.

Cf. also A324582 (a subsequence).

Sequence in context: A173399 A193190 A247209 * A324582 A275600 A226368

Adjacent sequences: A324574 A324575 A324576 * A324578 A324579 A324580

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 09 2019

STATUS

approved