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A075872 Quotient C[p(n),n]/p(n) where p(n) = n-th prime. 1
1, 1, 2, 5, 42, 132, 1144, 3978, 35530, 690690, 2731365, 50067108, 429757960, 1822766520, 15991836267, 280086337895, 4703540164785, 21512315482350, 360471372561300, 3174207914954076, 14859478810664136, 248599618581498860 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A prime p divides all the entries (binomial coefficients) in the p-th row of Pascal's triangle.

LINKS

Table of n, a(n) for n=1..22.

FORMULA

a(n)=A060604(n)/A000040(n)

MAPLE

seq(binomial(ithprime(n), n)/ithprime(n), n=1..30);

MATHEMATICA

f[n_]:=Module[{pn=Prime[n]}, Binomial[pn, n]/pn]

f/@Range[30]  (* Harvey P. Dale, Feb 25 2011 *)

CROSSREFS

Cf. A060604, A000040.

Sequence in context: A093625 A042447 A176266 * A075891 A246669 A208302

Adjacent sequences:  A075869 A075870 A075871 * A075873 A075874 A075875

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Oct 16 2002

EXTENSIONS

More terms from Emeric Deutsch, Mar 04 2004

STATUS

approved

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Last modified June 13 06:38 EDT 2021. Contains 344981 sequences. (Running on oeis4.)