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A232057
Numbers k such that S(24*(3*k-1)) <> 16*(3*k-1) mod 24*(3*k-1) where S(k) := Sum_{0<=a<n, 0<=b<n} (a+b*i)^n and i is the imaginary unit.
1
5, 19, 37, 47, 61, 75
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..6.
MATHEMATICA
fu[n_] := fu[n] = Mod[Sum[PowerMod[i + j I, n, n], {i, 0, n - 1}, {j, 0, n - 1}], n]; Table[If[! fu[24(3n - 1)]/(3n - 1) == 16, Print[n]; n], {n, 1, 40}]
CROSSREFS
Cf.
A230308
,
A230309
,
A230310
,
A232056
.
Sequence in context:
A289289
A213631
A242589
*
A031093
A297750
A285226
Adjacent sequences:
A232054
A232055
A232056
*
A232058
A232059
A232060
KEYWORD
nonn
,
more
,
hard
AUTHOR
José María Grau Ribas
, Nov 17 2013
STATUS
approved
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Last modified May 7 21:53 EDT 2024. Contains 372317 sequences. (Running on oeis4.)