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Revision History for A293449 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A293449 Characteristic function for A056166, numbers that have no nonprime exponents present in their prime factorization n = p_1^e_1 * ... * p_k^e_k.
(history; published version)
#13 by Susanna Cuyler at Fri Nov 17 20:31:37 EST 2017
STATUS

proposed

approved

#12 by Michael De Vlieger at Fri Nov 17 17:17:53 EST 2017
STATUS

editing

proposed

#11 by Michael De Vlieger at Fri Nov 17 17:17:51 EST 2017
MATHEMATICA

{1}~Join~Array[Boole[AllTrue[FactorInteger[#][[All, -1]], PrimeQ]] &, 104, 2] (* Michael De Vlieger, Nov 17 2017 *)

STATUS

proposed

editing

#10 by Antti Karttunen at Fri Nov 17 15:55:02 EST 2017
STATUS

editing

proposed

#9 by Antti Karttunen at Fri Nov 17 15:49:36 EST 2017
CROSSREFS

Cf. A010051, A056166, A095683, A095691, A101436, A125070, A126849.

#8 by Antti Karttunen at Fri Nov 17 15:21:32 EST 2017
FORMULA

a(n) = 1 iff A125070(n) = 0.

CROSSREFS

Cf. A010051, A056166, A101436, A125070, A126849.

#7 by Antti Karttunen at Fri Nov 17 15:18:10 EST 2017
LINKS

Antti Karttunen, <a href="/A293449/b293449.txt">Table of n, a(n) for n = 1..65537</a>

KEYWORD

nonn,mult,changed

#6 by Antti Karttunen at Fri Nov 17 14:51:57 EST 2017
NAME

Characteristic function for A056166, numbers that have no nonprime exponents present in their prime factorization n = p_1^e_1 * ... * p_k^e_k.

FORMULA

Multiplicative with a(p^e) = A010051(e).

a(1) = 1, for n > 1, a(n) = A010051(A067029(n)) * a(A028234(n)).

PROG

(Scheme) (define (A293449 n) (if (= 1 n) n (* (A010051 (A067029 n)) (A293449 (A028234 n)))))

CROSSREFS

Cf. A010051, A056166, A101436, A126849.

#5 by Antti Karttunen at Fri Nov 17 14:45:20 EST 2017
NAME

Characteristic function for numbers that have no nonprime exponents present in their prime factorization n = p_1^e_1 * ... * p_k * ^e_k.

#4 by Antti Karttunen at Fri Nov 17 14:44:39 EST 2017
CROSSREFS

Cf. A010051, A101436, A126849.

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Last modified August 30 13:06 EDT 2024. Contains 375543 sequences. (Running on oeis4.)