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A337471 Primorial inflation of n prime shifted once: a(n) = A003961(A108951(n)). 2
1, 3, 15, 9, 105, 45, 1155, 27, 225, 315, 15015, 135, 255255, 3465, 1575, 81, 4849845, 675, 111546435, 945, 17325, 45045, 3234846615, 405, 11025, 765765, 3375, 10395, 100280245065, 4725, 3710369067405, 243, 225225, 14549535, 121275, 2025, 152125131763605, 334639305, 3828825, 2835, 6541380665835015, 51975, 307444891294245705, 135135 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..44.

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to primorial numbers

FORMULA

a(n) = A003961(A108951(n)).

a(n) = A000265(A108951(A003961(n))).

Completely multiplicative with a(prime(i)) = A003961(A002110(i)) = A070826(1+i). - Antti Karttunen, Nov 17 2020

PROG

(PARI)

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f);

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

A337471(n) = A003961(A108951(n));

CROSSREFS

Row 1 of A337470.

Cf. A000265, A002110, A003961, A034386, A070826, A108951.

Sequence in context: A138006 A335696 A256557 * A145179 A297897 A232076

Adjacent sequences:  A337468 A337469 A337470 * A337472 A337473 A337474

KEYWORD

nonn,mult

AUTHOR

Antti Karttunen, Aug 28 2020

STATUS

approved

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Last modified July 25 07:08 EDT 2021. Contains 346284 sequences. (Running on oeis4.)