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A133620 Binomial(n+p,n) mod n where p=10. 73
0, 0, 1, 1, 3, 4, 2, 6, 2, 6, 1, 2, 1, 10, 5, 7, 1, 12, 1, 15, 18, 12, 1, 12, 21, 14, 4, 12, 1, 28, 1, 29, 1, 18, 6, 5, 1, 20, 14, 10, 1, 14, 1, 34, 15, 24, 1, 3, 8, 16, 18, 27, 1, 34, 23, 16, 1, 30, 1, 16, 1, 32, 17, 57, 40, 56, 1, 1, 47, 60, 1, 54, 1, 38, 36, 58, 12, 66, 1, 63, 10, 42, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Let d(m)...d(2)d(1)d(0) be the base-n representation of n+p. The relation a(n)=d(1) holds, if n is a prime index. For this reason there are infinitely many terms which are equal to 1.

LINKS

Table of n, a(n) for n=1..83.

FORMULA

a(n) = binomial(n+p,p) mod n.

a(n) = 1 if n is a prime > p, since binomial(n+p,n)==(1+floor(p/n))(mod n), provided n is a prime.

a(n) = A001287(n) mod n. - Michel Marcus, Jul 15 2013

MATHEMATICA

Table[Mod[Binomial[n + 10, n], n], {n, 90}] (* Harvey P. Dale, Apr 04 2015 *)

PROG

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

CROSSREFS

Cf. A000040, A133621-A133625, A133630, A038509, A133634-A133636.

Cf. A133880, A133890, A133900, A133910.

Sequence in context: A205152 A162196 A179297 * A322965 A154570 A145961

Adjacent sequences:  A133617 A133618 A133619 * A133621 A133622 A133623

KEYWORD

nonn

AUTHOR

Hieronymus Fischer, Sep 30 2007

STATUS

approved

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Last modified May 19 17:48 EDT 2019. Contains 323395 sequences. (Running on oeis4.)