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A342604
a(n) = Sum_{j=1..n} A003718(j-1)*prime(j).
3
2, 5, 10, 17, 39, 52, 69, 126, 195, 224, 255, 403, 649, 821, 868, 921, 1216, 1826, 2496, 2851, 2924, 3003, 3501, 4836, 6776, 8291, 8909, 9016, 9125, 9916, 12583, 17168, 21963, 24882, 25925, 26076, 26233, 27537, 32213, 41901, 54431, 64567, 69915, 71459, 71656, 71855, 73754, 81782, 100850, 129704
OFFSET
1,1
LINKS
EXAMPLE
a(3) = A003718(0)*prime(1) + A003718(1)*prime(2) + A003718(2)*prime(3) = 1*2 + 1*3 + 1*5 = 10.
MAPLE
p:= 1: R:= NULL:
for n from 0 to 14 do
for k from 0 to n do
p:= nextprime(p);
R:= R, binomial(n, k)*p
od od:
ListTools:-PartialSums([R]):
CROSSREFS
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Mar 16 2021
STATUS
approved