A275928 - OEIS

%I #17 Aug 30 2016 14:52:34

%S 1,1,2,2,2,8,8,4,12,18,8,8,4,12,32,8,4,24,12,16,128,64,32,16,96,144,

%T 32,64,12,256,16,16,16,384,128,48,6,48,64,128,8,64,32,64,384,144,16,

%U 128,12,144,768,64,32,2048,128,256,256,1536,32,64,128,48

%N Number of odd divisors of A101292(n).

%H R. C. Castillo, <a href="http://www.apjmr.com/wp-content/uploads/2015/10/APJMR-2015-3.4.2.15.pdf">On the Sum of Corresponding Factorials and Triangular Numbers: Runsums, Trapezoids and Politeness</a>, Asia Pacific Journal of Multidisciplinary Research, 3 (2015), 95-101.

%t Table[Count[Divisors[n! + Total@ Range@ n], d_ /; OddQ@ d], {n, 0, 54}] (* _Michael De Vlieger_, Aug 30 2016 *)

%Y Cf. A001277, A101292.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Aug 30 2016

%E More terms from _Michael De Vlieger_, Aug 30 2016

%E More terms from _Alois P. Heinz_, Aug 30 2016