A133621 Numbers k such that binomial(k+p,k) mod k = 1, where p=10.

3, 4, 11, 13, 17, 19, 23, 29, 31, 33, 37, 41, 43, 47, 53, 57, 59, 61, 67, 68, 71, 73, 79, 83, 85, 87, 89, 97, 101, 103, 107, 109, 111, 113, 121, 127, 131, 137, 139, 141, 143, 149, 151, 157, 163, 164, 167, 169, 173, 179, 181, 185, 187, 191, 193, 197, 199, 209, 211

Offset

1,1

Comments

All primes q > p are included, in that binomial(q+p,q) == (1+floor(p/q)) == 1 (mod q) holds for those primes.

Links

Table of n, a(n) for n=1..59.

Prog

(PARI) isok(n) = ((binomial(n+10, n) % n) == 1) \\ Michel Marcus, Jul 15 2013

Crossrefs

Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.

Cf. A133880, A133890, A133900, A133910.

Sequence in context: A226632 A098377 A075646 * A216558 A049619 A295067

Adjacent sequences: A133618 A133619 A133620 * A133622 A133623 A133624

Keyword

nonn

Author

Hieronymus Fischer, Sep 30 2007

Status

approved