AUTHOR
_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Feb 19 2010
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NAME
Partial sums of A104725.
DATA
0, 1, 2, 3, 5, 6, 9, 10, 15, 17, 20, 21, 32, 33, 36, 39, 54, 55, 66, 67, 78, 81, 84, 85, 130, 132, 135, 140, 151, 152, 171, 172, 224, 227, 230, 233, 295, 296, 299, 302, 347, 348, 367, 368, 379, 390, 393, 394, 594, 596, 607, 610, 621, 622, 667, 670, 715, 718, 721
OFFSET
0,3
COMMENTS
Partial sums of number of complementing systems of subsets of {0, 1, ..., n-1}. The subsequence of squares in this partial sum begins: 1, 9, 36, 81, 1849. The subsequence of primes in this partial sum begins: 2, 3, 5, 17, 67, 151, 227, 233, 347, 367, 379, 607, 839, 1087, 1109, 1733.
FORMULA
a(n) = SUM[i=0..n] A104725(i).
EXAMPLE
a(85) = 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 5 + 2 + 3 + 1 + 11 + 1 + 3 + 3 + 15 + 1 + 11 + 1 + 11 + 3 + 3 + 1 + 45 + 2 + 3 + 5 + 11 + 1 + 19 + 1 + 52 + 3 + 3 + 3 + 62 + 1 + 3 + 3 + 45 + 1 + 19 + 1 + 11 + 11 + 3 + 1 + 200 + 2 + 11 + 3 + 11 + 1 + 45 + 3 + 45 + 3 + 3 + 1 + 113 + 1 + 3 + 11 + 203 + 3 + 19 + 1 + 11 + 3 + 19 + 1 + 355 + 1 + 3 + 11 + 11 + 3 + 19 + 1 + 200 + 15 + 3 + 1 + 113 + 3.
KEYWORD
nonn
AUTHOR
Jonathan Vos Post (jvospost3(AT)gmail.com), Feb 19 2010
STATUS
approved