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A141658 A triangle of coefficients representing an Integer Irrational rotation of the primes: t(n,m)=Floor[Re[Exp[I*2*Pi*Mod[m*2*Pi, 1]/(n + 2)]*Prime[n + 1]]]. ( Correction with right numbers). 0
2, 3, 2, 5, 4, 3, 7, 6, 5, 3, 11, 10, 9, 6, 10, 13, 12, 11, 9, 12, 12, 17, 16, 15, 13, 16, 16, 14, 19, 18, 17, 15, 18, 18, 16, 14, 23, 22, 21, 19, 22, 22, 20, 18, 22, 29, 28, 27, 25, 28, 28, 26, 24, 28, 27, 31, 30, 29, 27, 30, 30, 28, 26, 30, 29, 28 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row sums are:

{2, 5, 12, 21, 46, 69, 107, 135, 189, 270, 318}.

LINKS

Table of n, a(n) for n=1..66.

FORMULA

t(n,m)=Floor[Re[Exp[I*2*Pi*Mod[m*2*Pi, 1]/(n + 2)]*Prime[n + 1]]].

EXAMPLE

{2},

{3, 2},

{5, 4, 3},

{7, 6, 5, 3},

{11, 10, 9, 6, 10},

{13, 12, 11, 9, 12, 12},

{17, 16, 15, 13, 16, 16, 14},

{19, 18, 17, 15, 18, 18, 16, 14},

{23, 22, 21, 19, 22, 22, 20, 18, 22},

{29, 28, 27, 25, 28, 28, 26, 24, 28, 27},

{31, 30, 29, 27, 30, 30, 28, 26, 30, 29, 28}

MATHEMATICA

Clear[T, n, m]; T[n_, m_] = Floor[Cyclotomic[Prime[n + 1], m/(n + 2)]*Prime[n + 1]]; Table[Flatten[Table[If[PrimeQ[T[n, m]], T[n, m], {}], {m, 0, n}]], {n, 0, 10}]; Flatten[%]

CROSSREFS

Cf. A141529.

Sequence in context: A197702 A075861 A205706 * A089587 A067316 A210221

Adjacent sequences:  A141655 A141656 A141657 * A141659 A141660 A141661

KEYWORD

nonn,tabl,uned

AUTHOR

Roger L. Bagula, Sep 04 2008

STATUS

approved

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Last modified December 18 16:39 EST 2014. Contains 252168 sequences.