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A049788
a(n) = T(n,n-3), array T as in
A049783
.
7
0, 0, 0, 0, 1, 0, 4, 3, 4, 4, 8, 3, 9, 9, 11, 8, 12, 10, 17, 9, 13, 15, 23, 14, 17, 19, 22, 20, 30, 12, 27, 22, 26, 30, 35, 15, 29, 35, 35, 27, 43, 22, 39, 36, 34, 40, 56, 29, 42, 38, 45, 39, 58, 43, 54, 34, 45, 49, 69, 33, 59, 67, 56, 45, 63
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OFFSET
4,7
LINKS
G. C. Greubel,
Table of n, a(n) for n = 4..1000
FORMULA
a(n) = Sum_{j=1..n-6} mod(n-3, floor((n-6)/j)). -
G. C. Greubel
, Dec 12 2019
MAPLE
seq( add(`mod`(n-3, floor((n-6)/j)), j=1..n-6), n=4..70); #
G. C. Greubel
, Dec 12 2019
MATHEMATICA
Table[Sum[Mod[n-3, Floor[(n-6)/j]], {j, n-6}], {n, 4, 70}] (*
G. C. Greubel
, Dec 12 2019 *)
PROG
(PARI) vector(70, n, sum(j=1, n-3, lift(Mod(n, (n-3)\j))) ) \\
G. C. Greubel
, Dec 12 2019
(Magma) [n lt 7 select 0 else &+[((n-3) mod Floor((n-6)/j)): j in [1..n-6]]: n in [4..70]]; //
G. C. Greubel
, Dec 12 2019
(SageMath) [sum( (n-3)%floor((n-6)/j) for j in (1..n-6)) for n in (4..70)] #
G. C. Greubel
, Dec 12 2019
(GAP) List([4..70], n-> Sum([1..n-6], j-> (n-3) mod Int((n-6)/j)) ); #
G. C. Greubel
, Dec 12 2019
CROSSREFS
Cf.
A049783
,
A049784
,
A049785
,
A049786
,
A049787
,
A049789
.
Sequence in context:
A239594
A094948
A332472
*
A002558
A204671
A204816
Adjacent sequences:
A049785
A049786
A049787
*
A049789
A049790
A049791
KEYWORD
nonn
AUTHOR
Clark Kimberling
STATUS
approved