%I A118432
%S A118432 1,6,14,56,504,168,264,198,286,1001,273,1456,1904,2448,15504,969,1197,
%T A118432 2926,3542,42504,10120,11960,14040,8190,47502,5481,6293,28768,32736,
%U A118432 185504,41888,11781,13209,29526,164502,73112,81016
%N A118432 Denominator of sum of reciprocals of first n 5-simplex numbers A000389.
%C A118432 Numerators are A118431. Fractions are: 1/1, 7/6, 17/14, 69/56, 625/504, 
               209/168, 329/264, 247/198, 357/286, 1250/1001, 341/273, 1819/1456, 
               2379/1904, 3059/2448, 19375/15504, 1211/969, 1496/1197, 3657/2926, 
               4427/3542, 53125/42504, 12649/10120, 14949/11960, 17549/14040, 10237/
               8190, 59375/47502, 6851/5481, 7866/6293, 35959/28768, 40919/32736, 
               231875/185504, 52359/41888, 14726/11781, 16511/13209, 36907/29526, 
               205625/164502, 91389/73112, 101269/81016. The denominator of sum 
               of reciprocals of first n triangular numbers is A026741. The denominator 
               of sum of reciprocals of first n tetrahedral numbers is A118392. 
               The denominator of sum of reciprocals of first n pentatope numbers 
               is A118412.
%F A118432 A118411(n)/A118412(n) = SUM[i=1..n] (1/A000389(n)). A118411(n)/A118412(n) 
               = SUM[i=1..n] (1/C(n,5)). A118411(n)/A118412(n) = SUM[i=1..n] (1/
               (n*(n+1)*(n+2)*(n+3)*(n+4)/120)).
%e A118432 a(1) = 1 = denominator of 1/1.
%e A118432 a(2) = 6 = denominator of 7/6 = 1/1 + 1/6.
%e A118432 a(3) = 14 = denominator of 17/14 = 1/1 + 1/6 + 1/21.
%e A118432 a(4) = 56 = denominator of 69/56 = 1/1 + 1/6 + 1/21 + 1/56.
%e A118432 a(5) = 42 = denominator of 55/42 = 1/1 + 1/6 + 1/21 + 1/56 + 1/126.
%e A118432 a(10) = 1001 = denominator of 1250/1001 = 1/1+ 1/6 + 1/21 + 1/56 + 1/
               126 + 1/252 + 1/462 + 1/792 + 1/1287 + 1/2002.
%e A118432 a(20) = 42504 = denominator of 53125/42504 = 1/1 + 1/6 + 1/21 + 1/56 
               + 1/126 + 1/252 + 1/462 + 1/792 + 1/1287 + 1/2002 + 1/3003 + 1/4368 
               + 1/6188 + 1/8568 + 1/11628 + 1/15504 + 1/20349 + 1/26334 + 1/33649 
               + 1/42504.
%Y A118432 Cf. A000332, A000389, A022998, A026741, A118391, A118391, A118411, A118412, 
               A118431.
%Y A118432 Sequence in context: A005515 A114705 A107301 this_sequence A032404 A059954 
               A139257
%Y A118432 Adjacent sequences: A118429 A118430 A118431 this_sequence A118433 A118434 
               A118435
%K A118432 easy,frac,nonn
%O A118432 1,2
%A A118432 Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 28 2006