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A290249 Numbers that are the sum of distinct primorial numbers (A002110) (not including 1). 0
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 (list; graph; refs; listen; history; text; internal format)
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: A140539 A056188 A020696 * A321471 A216762 A132269

Adjacent sequences:  A290246 A290247 A290248 * A290250 A290251 A290252

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 24 2017

STATUS

approved

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Last modified May 19 02:45 EDT 2019. Contains 323377 sequences. (Running on oeis4.)