A286582 - OEIS

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A286582

a(n) = A001222(A048673(n)).

0, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 3, 5, 3, 3, 2, 3, 2, 2, 3, 3, 4, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 4, 1, 4, 3, 3, 2, 1, 2, 5, 2, 3, 3, 2, 1, 2, 1, 1, 2, 2, 4, 3, 2, 4, 3, 4, 2, 1, 3, 1, 3, 4, 2, 2, 4, 5, 7, 3, 3, 1, 2, 3, 4, 1, 1, 3, 5, 2, 1, 2, 1, 2, 5, 4, 6, 2, 3, 1, 2, 3, 2, 4, 3, 1, 1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,5`
	LINKS	`Antti Karttunen, Table of n, a(n) for n = 1..10000`
	FORMULA	`a(n) = A001222(A048673(n)).`
	PROG	`(PARI)` `A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ Using code of Michel Marcus` `A048673(n) = (A003961(n)+1)/2;` `A286582(n) = bigomega(A048673(n));` `(Scheme) (define (A286582 n) (A001222 (A048673 n)))` `(Python)` `from sympy import factorint, nextprime, primefactors, prod` `def a001222(n): return 0 if n==1 else a001222(n//primefactors(n)[-1]) + 1` `def a048673(n):` `f = factorint(n)` `return 1 if n==1 else (1 + prod(nextprime(i)**f[i] for i in f))//2` `def a(n): return a001222(a048673(n))` `print([a(n) for n in range(1, 51)]) # Indranil Ghosh, Jun 12 2017`
	CROSSREFS	`Cf. A001222, A048673, A091304, A278224, A286583, A286584, A286585.` `Sequence in context: A323326 A274884 A076224 * A114729 A186037 A144365` `Adjacent sequences: A286579 A286580 A286581 * A286583 A286584 A286585`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen, May 31 2017`
	STATUS	`approved`

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Last modified January 15 21:50 EST 2021. Contains 340195 sequences. (Running on oeis4.)