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A158747 Triangle read by rows: T(n,m)=prime( 1+prime(n+1)-prime(m+1) ). +0
1
2, 3, 2, 7, 5, 2, 13, 11, 5, 2, 29, 23, 17, 11, 2, 37, 31, 23, 17, 5, 2, 53, 47, 41, 31, 17, 11, 2, 61, 59, 47, 41, 23, 17, 5, 2, 79, 73, 67, 59, 41, 31, 17, 11, 2, 107, 103, 97, 83, 67, 59, 41, 31, 17, 2, 113, 109, 103, 97, 73, 67, 47, 41, 23, 5, 2 (list; table; graph; listen)
OFFSET

0,1

COMMENT

The row sums are {2, 5, 14, 31, 82, 115, 202, 255, 380, 607, 680,...}.

FORMULA

T(n,m)=A000040( 1+A000040(n+1)-A000040(m+1) ) = A000040(1+A086800(n,m)), 0<=n, 0<=m<=n.

EXAMPLE

{2},

{3, 2},

{7, 5, 2},

{13, 11, 5, 2},

{29, 23, 17, 11, 2},

{37, 31, 23, 17, 5, 2},

{53, 47, 41, 31, 17, 11, 2},

{61, 59, 47, 41, 23, 17, 5, 2},

{79, 73, 67, 59, 41, 31, 17, 11, 2},

{107, 103, 97, 83, 67, 59, 41, 31, 17, 2},

{113, 109, 103, 97, 73, 67, 47, 41, 23, 5, 2}

MATHEMATICA

Clear[t, n, m];

t[n_, m_] = Prime[Prime[n + 1] - Prime[m + 1] + 1];

Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];

Flatten[%]

CROSSREFS

Sequence in context: A144456 A051886 A118007 this_sequence A122697 A129022 A122076

Adjacent sequences: A158744 A158745 A158746 this_sequence A158748 A158749 A158750

KEYWORD

nonn,tabl,easy

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 25 2009

EXTENSIONS

Edited by the Associate Editors of the OEIS, Apr 22 2009

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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