A290249 Numbers that are the sum of distinct primorial numbers (A002110) (not including 1).

2, 6, 8, 30, 32, 36, 38, 210, 212, 216, 218, 240, 242, 246, 248, 2310, 2312, 2316, 2318, 2340, 2342, 2346, 2348, 2520, 2522, 2526, 2528, 2550, 2552, 2556, 2558, 30030, 30032, 30036, 30038, 30060, 30062, 30066, 30068, 30240, 30242, 30246, 30248, 30270, 30272, 30276, 30278, 32340, 32342, 32346, 32348, 32370

Offset: 1

Author

Ilya Gutkovskiy, Jul 24 2017

Keywords

• nonn

Examples

			38 is in the sequence because 38 = 2 + 6 + 30 = 2 + 2*3 + 2*3*5.
		

Links

• Index entries for sequences related to primorial numbers

Crossrefs

Cf. A002110, A059589, A059590, A143293, A177711, A276156.

Programs

Mathematica

Rest[f[x_] := Product[1 + x^Product[Prime[m], {m, 1, k}], {k, 1, 6}]; Exponent[#, x] & /@ List @@ Normal[Series[f[x], {x, 0, 32370}]]]

Formula

Nonzero exponents in expansion of Product_{k>=1} (1 + x^A002110(k)).