A079463 Numbers k such that C(6*k,n)/(5*k+1) (A002295) is not divisible by 6.

0, 1, 3, 4, 5, 7, 13, 16, 19, 21, 22, 34, 40, 49, 51, 53, 67, 77, 83, 85, 97, 103, 115, 121, 148, 196, 202, 205, 211, 213, 292, 307, 309, 310, 333, 339, 340, 341, 346, 358, 364, 439, 445, 583, 589, 601, 607, 819, 821, 845, 851, 853, 877, 925, 931, 1021, 1039, 1069

Offset

1,3

Comments

Is a(n)/n^2 bounded? It seems that 0.2 < a(n)/n^2 <= 1.

Links

Amiram Eldar, Table of n, a(n) for n = 1..1000

Mathematica

Select[Range[0, 1000], !Divisible[Binomial[6*#, #]/(5*# + 1), 6] &] (* Amiram Eldar, Jun 04 2021 *)

Crossrefs

Cf. A000225 (C(2*k, k)/(k+1) is not divisible by 2), A003462 (C(3*k, k)/(2*k+1) is not divisible by 3), A003463 (C(5*k, k)/(4*k+1) is not divisible by 5).

Sequence in context: A139440 A102607 A360688 * A325422 A190213 A216574

Adjacent sequences: A079460 A079461 A079462 * A079464 A079465 A079466

Keyword

nonn

Author

Benoit Cloitre, Jan 14 2003

Status

approved