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

1,1

Links

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

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.

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 *)

Crossrefs

Cf. A126248.

Sequence in context: A271732 A219295 A000820 * A125550 A343155 A223305

Adjacent sequences: A126246 A126247 A126248 * A126250 A126251 A126252

Keyword

nonn

Author

Lekraj Beedassy, Dec 21 2006

Status

approved