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

1,1

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}]]]

Crossrefs

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

Sequence in context: A056188 A020696 A328769 * A321471 A216762 A132269

Adjacent sequences: A290246 A290247 A290248 * A290250 A290251 A290252

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 24 2017

Status

approved