The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A304091 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A304091

a(n) is the number of the proper divisors of n that are Lucas numbers (A000032, with 2 included).
(history; published version)

#8 by Susanna Cuyler at Sun May 13 20:43:04 EDT 2018

STATUS

proposed

approved

#7 by Antti Karttunen at Sun May 13 18:36:42 EDT 2018

STATUS

editing

proposed

#6 by Antti Karttunen at Sun May 13 12:03:27 EDT 2018

LINKS

Antti Karttunen, <a href="/A304091/b304091.txt">Table of n, a(n) for n = 1..65537</a>

#5 by Antti Karttunen at Sun May 13 11:10:09 EDT 2018

CROSSREFS

Cf. A000032, A102460, A304092, A304093.

#4 by Antti Karttunen at Sun May 13 10:57:59 EDT 2018

FORMULA

a(n) = A304092(n) - A102460(n).

#3 by Antti Karttunen at Sun May 13 10:56:05 EDT 2018

CROSSREFS

Cf. also A293435, A300836.

#2 by Antti Karttunen at Sun May 13 10:54:39 EDT 2018

NAME

allocated for Antti Karttunena(n) is the number of the proper divisors of n that are Lucas numbers (A000032, with 2 included).

DATA

0, 1, 1, 2, 1, 3, 1, 3, 2, 2, 1, 4, 1, 3, 2, 3, 1, 3, 1, 3, 3, 3, 1, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 2, 5, 1, 2, 2, 3, 1, 4, 1, 4, 2, 2, 1, 4, 2, 2, 2, 3, 1, 4, 2, 4, 2, 3, 1, 4, 1, 2, 3, 3, 1, 4, 1, 3, 2, 3, 1, 5, 1, 2, 2, 3, 3, 3, 1, 3, 2, 2, 1, 5, 1, 2, 3, 4, 1, 4, 2, 3, 2, 3, 1, 4, 1, 3, 3, 3, 1, 3, 1, 3, 3

OFFSET

1,4

FORMULA

a(n) = Sum_{d|n, d<n} A102460(d).

PROG

(PARI)

A102460(n) = { my(u1=1, u2=3, old_u1); if(n<=2, sign(n), while(n>u2, old_u1=u1; u1=u2; u2=old_u1+u2); (u2==n)); };

A304091(n) = sumdiv(n, d, (d<n)*A102460(d));

CROSSREFS

Cf. A000032, A102460.

Cf. also A293435,

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, May 13 2018

STATUS

approved

editing

#1 by Antti Karttunen at Sun May 06 06:11:54 EDT 2018

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved