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A348996

a(n) = usigma(A276086(n)), where usigma (A034448) is multiplicative with a(p^e) = (p^e)+1, and A276086 gives the prime product form of primorial base expansion of n.

1, 3, 4, 12, 10, 30, 6, 18, 24, 72, 60, 180, 26, 78, 104, 312, 260, 780, 126, 378, 504, 1512, 1260, 3780, 626, 1878, 2504, 7512, 6260, 18780, 8, 24, 32, 96, 80, 240, 48, 144, 192, 576, 480, 1440, 208, 624, 832, 2496, 2080, 6240, 1008, 3024, 4032, 12096, 10080, 30240, 5008, 15024, 20032, 60096, 50080, 150240, 50, 150 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..61.` `Index entries for sequences related to primorial base`
	FORMULA	`a(n) = A034448(A276086(n)).`
	PROG	`(PARI) A348996(n) = { my(m=1, p=2); while(n, if(n%p, m *= (1+(p^(n%p)))); n = n\p; p = nextprime(1+p)); (m); };`
	CROSSREFS	`Cf. A034448, A276086, A348997, A349000.` `Cf. also A324653, A346470, A348949.` `Sequence in context: A238855 A034854 A164982 * A196440 A101404 A067327` `Adjacent sequences: A348993 A348994 A348995 * A348997 A348998 A348999`
	KEYWORD	`nonn,base`
	AUTHOR	`Antti Karttunen, Nov 07 2021`
	STATUS	`approved`

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Last modified September 12 18:10 EDT 2024. Contains 375853 sequences. (Running on oeis4.)