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A282600 a(n) = Sum_(k=1..phi(n)) floor(d_k/2) where d_k are the totatives of n. 3
0, 0, 1, 1, 4, 2, 9, 6, 12, 8, 25, 10, 36, 18, 28, 28, 64, 24, 81, 36, 60, 50, 121, 44, 120, 72, 117, 78, 196, 56, 225, 120, 160, 128, 204, 102, 324, 162, 228, 152, 400, 120, 441, 210, 264, 242, 529, 184, 504, 240, 400, 300, 676, 234, 540, 324, 504, 392, 841, 232 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
The totatives of n are the numbers k <= n with gcd(k,n) = 1.
LINKS
David Zmiaikou, Origamis and permutation groups, Thesis, 2011. See p. 65.
FORMULA
If n is odd, a(n) = A023896(n)/2 - A000010(n)/4;
If n is even, a(n) = A023896(n)/2 - A000010(n)/2.
PROG
(PARI) a(n) = sum(k=1, n, (k\2)*(gcd(n, k)==1));
CROSSREFS
Sequence in context: A285089 A191426 A182702 * A326845 A257734 A257732
KEYWORD
nonn,look
AUTHOR
Michel Marcus, Feb 19 2017
STATUS
approved

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Last modified August 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)