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Search: id:A143121
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| A143121 |
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Triangle read by rows, T(n,k) = sum {j=k..n} p(j), 1<=k<=n. |
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+0
1
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| 2, 5, 3, 10, 8, 5, 17, 15, 12, 7, 28, 26, 23, 18, 11, 41, 39, 36, 31, 24, 13, 58, 56, 53, 48, 41, 30, 17, 77, 75, 72, 67, 60, 39, 36, 19, 100, 98, 95, 90, 83, 72, 59, 42, 23, 129, 127, 124, 119, 112, 101, 88, 71, 52, 29, 160, 158, 155, 150, 143, 132, 119, 102, 83
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Left border = A007504, sum of first n primes: (2, 5, 10, 27, 28, 41,...).
Right border = primes, A000040.
Row sums = A014285: (2, 8, 23, 51, 106, 184,...).
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FORMULA
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Triangle read by rows, T(n,k) = sum {j=k..n} p(j), 1<=k<=n, primes = A000040. = A000012 * (A000040 * 0^(n-k)) * A000012.
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EXAMPLE
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First few rows of the triangle are:
2;
5, 3;
10, 8, 5;
17, 15, 12, 7;
28, 26, 23, 18, 11;
41, 39, 36, 31, 24, 13;
58, 56, 53, 48, 41, 30, 17;
...
T(5,3) = 23 = p(3) + p(4) + p(5) = (5 + 7 + 11).
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CROSSREFS
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Cf. A000040, A007504, A014285.
Sequence in context: A064664 A078386 A163254 this_sequence A101492 A138765 A097753
Adjacent sequences: A143118 A143119 A143120 this_sequence A143122 A143123 A143124
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Jul 26 2008
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EXTENSIONS
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Corrected by Hanke Bremer, Nov 28 2008
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