A080570 Number of 1's in partition of n-th Ulam number into sum of two distinct Ulam numbers.
1, 0, 1, 2, 2, 2, 3, 3, 4, 4, 6, 6, 8, 8, 11, 12, 13, 15, 14, 17, 18, 19, 20, 21, 23, 23, 24, 26, 28, 32, 31, 32, 35, 36, 37, 43, 43, 44, 44, 45, 47, 50, 51, 53, 53, 56, 56, 57, 57, 61, 62, 62, 65, 68, 73, 76, 77, 78, 83, 83, 84, 84, 87, 88, 90, 92, 94, 94, 97, 98, 98, 101, 101
Offset: 1
Examples
For n=7: A002858(7) = 11 = 3+8 = (1+2)+(2+6) = (1+2)+(2+(2+4)) = (1+2)+(2+(2+(1+3))) = (1+2)+(2+(2+(1+(1+2)))). Number of 1's in (1+2)+(2+(2+(1+(1+2)))) is 3, so a(7) = 3.
Crossrefs
Cf. A002858.