login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A126249 p*(p+1)*(p+2)/6 where (p,p+2) are twin primes. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subset of A152916. [Paolo P. Lava, Jan 25 2013]

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 28 13:26 EDT 2021. Contains 348329 sequences. (Running on oeis4.)