A141656 A triangle of coefficients representing an Integer Cyclotomic c(x,n) rotation of the primes: t(n,m)=If[ Prime,Floor[C(m/(n+2),Prime(n+1))*Prime(n+1))]].

2, 3, 5, 7, 11, 17, 11, 13, 13, 17, 19, 67, 19, 23, 29, 31, 53, 79, 31, 37, 41, 53, 61

Offset

1,1

Comments

The name contains an unmatched parenthesis. - Editors, Mar 13 2024

Row sums are:

{2, 3, 5, 35, 24, 13, 103, 19, 23, 192, 223}.

Links

Table of n, a(n) for n=1..23.

Formula

t(n,m)=If[ Prime,Floor[C(m/(n+2),Prime(n+1))*Prime(n+1))]].

Example

{2},
{3},
{5},
{7, 11, 17},
{11, 13},
{13},
{17, 19, 67},
{19},
{23},
{29, 31, 53, 79},
{31, 37, 41, 53, 61}

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: A091980 A274113 A005685 * A092180 A050298 A094751

Adjacent sequences: A141653 A141654 A141655 * A141657 A141658 A141659

Keyword

nonn,tabf,uned

Author

Roger L. Bagula, Sep 04 2008

Status

approved