VOOZH about

URL: https://oeis.org/A372899

⇱ A372899 - OEIS

login
A372899
Numbers k that divide the k-th companion Pell number.
1
1, 2, 6, 18, 54, 66, 162, 198, 486, 594, 726, 1314, 1458, 1782, 2178, 2838, 3222, 3942, 4374, 5346, 5778, 5874, 6534, 7986, 8514, 8646, 9666, 11826, 13122, 14454, 16038, 17334, 17622, 19602, 23958, 25542, 25938, 28998, 31218, 35442, 35478, 39366, 43362, 48114
OFFSET
1,2
COMMENTS
Numbers k such that k | A002203(k).
LINKS
EXAMPLE
2 is a term since A002203(2) = 6 = 2 * 3 is divisible by 2.
6 is a term since A002203(6) = 198 = 6 * 33 is divisible by 6.
MATHEMATICA
Select[Range[50000], Divisible[LucasL[#, 2], #] &]
PROG
(PARI) lista(kmax) = {my(p1 = 2, p2 = 6, p3); print1("1, 2, "); for(k = 3, kmax, p3 = p1 + 2*p2; if(!(p3 % k), print1(k, ", ")); p1 = p2; p2 = p3); }
CROSSREFS
Cf. A002203.
Similar sequences: A014847 (Catalan), A016089 (Lucas), A023172 (Fibonacci), A051177 (partition), A232570 (tribonacci), A246692 (Pell), A266969 (Motzkin).
Sequence in context: A120010 A132790 A358417 * A214799 A072850 A254941
KEYWORD
nonn
AUTHOR
Amiram Eldar, May 16 2024
STATUS
approved