login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A087813
(1/n)*(binomial(2n,n)-2^n) as n runs through the primes.
0
1, 4, 44, 472, 63944, 799416, 137263244, 1860249448, 357974884304, 1036802274574832, 15013817777670240, 47192717951302358280, 10360599532843724350568, 154361699651510683256944, 34589385964787861980005536, 118349529407778159289257602576
OFFSET
1,2
MAPLE
a:= n-> (p-> (binomial(2*p, p)-2^p)/p)(ithprime(n)):
seq(a(n), n=1..20); # Alois P. Heinz, Feb 27 2023
CROSSREFS
Cf. A000040.
Sequence in context: A002278 A112897 A163013 * A342346 A082779 A223053
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 15 2003
STATUS
approved