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A100439 Number of distinct values of i*j + j*k + k*i with 1 <= i<j<k <= n. +0
4
0, 0, 1, 4, 10, 20, 31, 48, 70, 96, 123, 161, 197, 240, 293, 340, 394, 460, 524, 596, 670, 744, 819, 918, 1016, 1112, 1217, 1322, 1429, 1561, 1679, 1798, 1943, 2072, 2218, 2379, 2518, 2669, 2838, 3009, 3178, 3361, 3536, 3713, 3924, 4120, 4304, 4522, 4727 (list; graph; listen)
OFFSET

1,4

MAPLE

f:=proc(n) local i, j, k, t1; t1:={}; for i from 1 to n-2 do for j from i+1 to n-1 do for k from j+1 to n do t1:={op(t1), i*j+j*k+k*i}; od: od: od: t1:=convert(t1, list); nops(t1); end;

MATHEMATICA

f[n_] := Length[ Union[ Flatten[ Table[i*j + j*k + k*i, {i, n}, {j, i + 1, n}, {k, j + 1, n}] ]]]; Table[ f[n], {n, 49}] (from Robert G. Wilson v Dec 14 2004)

CROSSREFS

Cf. A027430, A100440, A102533, A102534.

Sequence in context: A135280 A100436 A009882 this_sequence A008128 A008094 A008083

Adjacent sequences: A100436 A100437 A100438 this_sequence A100440 A100441 A100442

KEYWORD

nonn

AUTHOR

njas, Nov 21 2004

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 14 2004

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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