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Brilliant numbers (A078972) which are the sum of distinct double factorials (A006882).
3

%I #5 Jan 25 2014 13:27:55

%S 4,6,9,10,14,15,21,25,49,121,169,403,407,437,451,493,517,551,949,961,

%T 1003,1007,1067,1073,1079,1121,1333,1343,1349,1357,1387,1403,1457,

%U 1501,3869,3901,3953,4331,4891,5183,5293,10403,10807,11413,11449

%N Brilliant numbers (A078972) which are the sum of distinct double factorials (A006882).

%C Double factorials 0!! and 1!! are not considered distinct. Note that double factorial (n!!) is different from (n!)!.

%e 949 = 13*73 = 9!! + 3!! + 1!!.

%Y Cf. A006882, A078972, A115651, A115653, A115654.

%K nonn,base

%O 1,1

%A _Giovanni Resta_, Jan 28 2006