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A114905
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Triangle where a(1,1) = 0; a(n,m) = number of terms in row (n-1) which, when added to m, are primes.
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4
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0, 0, 1, 1, 2, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 4, 1, 4, 1, 4, 0, 5, 3, 4, 2, 1, 2, 4, 5, 3, 4, 2, 2, 2, 2, 2, 6, 2, 6, 1, 5, 1, 1, 2, 6, 8, 4, 2, 3, 5, 4, 3, 1, 2, 3, 5, 5, 5, 4, 3, 2, 2, 4, 5, 4, 3, 5, 6, 5, 2, 2, 4, 3, 6, 5, 2, 2, 4, 8, 4, 6, 1, 6, 3, 4, 4, 6, 1, 6, 3, 4, 10, 4, 5, 4, 5, 2, 8, 2, 5, 4, 5, 2, 8, 2
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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EXAMPLE
| The third row is [1,2,1]. Adding m=3 to these terms gives [4,5,4], of which one number is prime. Therefore a[4,3]=1 in the next row, third column.
Triangle starts
0
0 1
1 2 1
3 2 1 2
3 2 2 2 2
4 1 4 1 4 0
5 3 4 2 1 2 4
5 3 4 2 2 2 2 2
6 2 6 1 5 1 1 2 6
8 4 2 3 5 4 3 1 2 3
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MAPLE
| A114905 := proc(rowmax) local a, n, m, t ; a := matrix(rowmax, rowmax) ; a[1, 1] := 0 ; for n from 2 to rowmax do for m from 1 to n do a[n, m] := 0 ; for t from 1 to n-1 do if isprime( m+a[n-1, t] ) then a[n, m] := a[n, m]+1 ; fi ; od ; od ; od ; RETURN(a) ; end: rowmax := 15 : a := A114905(rowmax) : for n from 1 to rowmax do for m from 1 to n do printf("%d, ", a[n, m]) ; od ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2007
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CROSSREFS
| Cf. A114906, A114919, A114920.
Sequence in context: A153359 A023510 A005678 * A200651 A126597 A076081
Adjacent sequences: A114902 A114903 A114904 * A114906 A114907 A114908
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KEYWORD
| nonn,tabl
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AUTHOR
| Leroy Quet Jan 06 2006
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EXTENSIONS
| Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2007
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