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A075872
a(n) = binomial(prime(n),n)/prime(n) where prime(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, 2209822117125283440, 36246606227404101045
OFFSET
1,3
COMMENTS
A prime p divides all the entries (binomial coefficients) in the p-th row of Pascal's triangle.
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 *)
PROG
(PARI) a(n) = my(p=prime(n)); binomial(p, n)/p; \\ Michel Marcus, Jul 15 2022
CROSSREFS
Sequence in context: A093625 A042447 A176266 * A075891 A246669 A208302
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Oct 16 2002
EXTENSIONS
More terms from Emeric Deutsch, Mar 04 2004
STATUS
approved