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A199973 a(n) = the sum of LCQ_B(n, k) for 1 <= k <= n (see definition in comments). 4
0, 0, 4, 9, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Definition of LCQ_B: The least common non-divisor of type B (LCQ_B) 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<=b common to a and b; LCQ_B(a, b) = 0 if  no such c exists.

LCQ_B(a, b) = 0 or >= 2.

LINKS

Table of n, a(n) for n=1..40.

FORMULA

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.: A199974 (the sum of LCQ_C(n, k) for 1 <= k <= n).

Sequence in context: A197681 A197624 A339594 * A320925 A212875 A069082

Adjacent sequences:  A199970 A199971 A199972 * A199974 A199975 A199976

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Nov 26 2011

STATUS

approved

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Last modified January 16 05:22 EST 2022. Contains 350374 sequences. (Running on oeis4.)