OFFSET
1,2
COMMENTS
This is the lexicographically earliest sequence of distinct positive terms with this property.
LINKS
Carole Dubois, Table of n, a(n) for n = 1..5000
EXAMPLE
a(1) * a(2) = 1 * 3 = 3 (no even digit is present);
a(2) * a(3) = 3 * 5 = 15 (no even digit is present);
a(3) * a(4) = 5 * 7 = 35 (no even digit is present); etc.
MATHEMATICA
Block[{a = {1}}, Do[Block[{k = 3}, While[Nand[FreeQ[a, k], NoneTrue[IntegerDigits@ Total[a[[-1]]*k], EvenQ]], k += 2]; AppendTo[a, k]], {i, 2, 72}]; a] (* Michael De Vlieger, Nov 12 2020 *)
CROSSREFS
KEYWORD
AUTHOR
Eric Angelini and Carole Dubois, Nov 11 2020
STATUS
approved