A290249 - OEIS

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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

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..52.

Index entries for sequences related to primorial numbers

FORMULA

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

EXAMPLE

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

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}]]]