OFFSET
1,3
COMMENTS
This is the lexicographically earliest sequence of distinct nonnegative terms with this property and also a permutation of the nonnegative integers.
LINKS
EXAMPLE
a(1) + a(2) = 0 + 1 = 1 (no even digit is present);
a(2) + a(3) = 1 + 2 = 3 (no even digit is present);
a(3) + a(4) = 2 + 3 = 5 (no even digit is present);
...
a(6) + a(7) = 5 + 6 = 11 (no even digit is present); etc.
MATHEMATICA
Block[{a = {0}}, Do[Block[{k = 1}, While[Nand[FreeQ[a, k], NoneTrue[IntegerDigits@ Total[a[[-1]] + k], EvenQ]], k++]; AppendTo[a, k]], {i, 2, 80}]; a] (* Michael De Vlieger, Nov 12 2020 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Nov 11 2020
STATUS
approved