|
| |
|
|
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; internal format)
|
|
|
|
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] (* From Harvey P. Dale, Feb 25 2011 *)
|
|
|
CROSSREFS
| Cf. A060604, A000040.
Sequence in context: A093625 A042447 A176266 * A075891 A116297 A027730
Adjacent sequences: A075869 A075870 A075871 * A075873 A075874 A075875
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 16 2002
|
|
|
EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 04 2004
|
| |
|
|
