A126249 p*(p+1)*(p+2)/6 where (p,p+2) are twin primes.

10, 35, 286, 969, 4495, 12341, 35990, 62196, 176851, 209934, 437989, 562475, 971970, 1179616, 1293699, 1975354, 2303960, 3280455, 3737581, 5061836, 7023974, 12347930, 13436856, 16435111, 23706021, 30865405, 35999900, 39338069

Offset: 1

Author

Lekraj Beedassy, Dec 21 2006

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A126248.

Programs

Maple

ZL:=[]:for p from 1 to 617 do if (isprime(p) and isprime(p+2) ) then ZL:=[op(ZL),(binomial((p+2),p-1))]; fi; od; print(ZL); # Zerinvary Lajos, Mar 08 2007

Mathematica

Times@@# Mean[#]/6&/@Select[Partition[Prime[Range[250]],2,1],#[[2]]- #[[1]] == 2&] (* Harvey P. Dale, Sep 20 2014 *)

Formula

a(n) = A001359(n)*A014574(n)*A006512(n)/6;

a(n) = A037074(n)*A014574(n)/6;

a(n) = A007531(A006512(n))/6.

a(n) = A037074(n)*A002822(n-1), for n > 1.

a(n) = A126248(n)/6.