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A051556 a(n) = number of 0<=k<=n such that n+k divides binomial(n,k). 1
1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 6, 3, 1, 2, 2, 1, 3, 2, 3, 6, 2, 3, 5, 5, 2, 3, 6, 4, 6, 5, 10, 12, 6, 4, 10, 8, 3, 8, 5, 8, 5, 3, 5, 11, 4, 4, 10, 7, 8, 9, 19, 21, 12, 8, 7, 8, 4, 3, 17, 13, 19, 23, 10, 11, 13, 16, 18, 14, 9, 11, 19, 13, 9, 16, 16, 25, 21, 17, 15, 18, 13, 16, 17, 19 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..89.

EXAMPLE

For n=9, 0<=k<=n, n+k divides C(n,k) only when k=3 and k=5, so a(9)=2.

PROG

(PARI) a(n) = sum(k=0, n, (binomial(n, k) % (n+k)) == 0); \\ Michel Marcus, May 18 2014

CROSSREFS

Cf. A051574 (similar definition).

Sequence in context: A284019 A286135 A142475 * A330166 A081602 A077267

Adjacent sequences:  A051553 A051554 A051555 * A051557 A051558 A051559

KEYWORD

nonn

AUTHOR

Leroy Quet

STATUS

approved

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Last modified February 28 23:19 EST 2020. Contains 332353 sequences. (Running on oeis4.)