A189641 Partial sums of A189640.
0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 20, 20, 21, 22, 22, 23, 23, 23, 24, 25, 25, 26, 27, 27, 28, 28, 28, 29, 30, 30, 31, 31, 31, 32, 32, 32, 33, 34, 34, 35, 36, 36, 37, 37, 37, 38, 39, 39, 40
Offset: 1
Keywords
Programs
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Mathematica
(See A189640.)
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PARI
a(n) = n--; (n - vecsum(digits(n,3)%2))/2; \\ Kevin Ryde, Apr 23 2021
Formula
a(n) = a(floor((n+2)/3)) + floor(n/3), where a(1)=0.
Comments