The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A119362 Combinatorial twin prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th twin primes or lesser: twin_prime(n) = 2^(n-6)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (i+2-n). 0
 32, 8, 32, 52, 208, 508, 2672, 9278, 71168, 258772, 2448352, 11401798, 123001112, 660768362, 7257835148, 50721144013, 643561620832, 4610932367548, 57562797069608, 547637465534282, 7281278491404272, 71412114145523938 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..22. EXAMPLE twin_prime(10) = [ 2^(10-6)/(10-1)! ] * [ 32*C(10-1,0)*(-7) + 8*C(10-1,1)*(-6) + 32*C(10-1,2)*(-5) + ... + 9278*C(10-1,7)*(0) + 71168*C(10-1,8)*(1) + 258772*C(10-1,9)*(2) ] = 31 MATHEMATICA Mathematica 5.2 - webMathematica 2 - http://library.wolfram.com/webMathematica/Education/LongDivide.jsp CROSSREFS Cf. A001097, A000040, A120315, A000166, A115298, A008275. Sequence in context: A240925 A113506 A120315 * A070630 A193354 A070622 Adjacent sequences: A119359 A119360 A119361 * A119363 A119364 A119365 KEYWORD easy,nonn AUTHOR André F. Labossière, Jul 24 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 9 15:15 EDT 2024. Contains 375044 sequences. (Running on oeis4.)