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A199974
a(n) = the sum of LCQ_C(n, k) for 1 <= k <= n (see definition in comments).
2
2, 6, 7, 14, 12, 25, 18, 28, 28, 33, 28, 64, 35, 47, 51, 59, 45, 76, 51, 81, 68, 74, 61, 128, 72, 88, 87, 103, 78, 145, 84, 119, 107, 114, 101, 195, 101, 129, 126, 166
OFFSET
1,1
COMMENTS
Definition of LCQ_C: The least common non-divisor of type C (LCQ_C) of two positive integers a and b (a<=b) is the least positive non-divisor q of numbers a and b such that 1<=q common to a and b. LCQ_C(a, b) >= 2.
EXAMPLE
For n = 6, a(6) = 9 because LCQ_B(6, 1) = 4, LCQ_B(6, 2) = 4, LCQ_B(6, 3) = 4, LCQ_B(6, 4) = 5, LCQ_B(6, 5) = 4, LCQ_B(6, 6) = 4. Sum of results is 25.
CROSSREFS
Cf.: A196443 (the sum of GCQ_A(n, k) for 1 <= k <= n).
Cf.: A199972 (the sum of GCQ_B(n, k) for 1 <= k <= n).
Cf.: A199971 (the sum of LCQ_A(n, k) for 1 <= k <= n).
Cf.: A199973 (the sum of LCQ_B(n, k) for 1 <= k <= n).
Sequence in context: A092310 A306924 A087376 * A176279 A376296 A265739
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Nov 26 2011
STATUS
approved