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A147693
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Triangle read by rows: numbers n and prime numbered columns p such that T(n, p) is n mod p.
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0
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0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 3, 1, 1, 0, 4, 2, 0, 1, 0, 3, 1, 2, 1, 4, 0, 0, 0, 2, 5, 1, 1, 1, 3, 6, 2, 0, 0, 2, 4, 0, 3, 1, 1, 0, 0, 1, 4, 2, 0, 1, 1, 2, 5, 3, 1, 2, 2, 3, 6, 4, 0, 0, 0, 3, 4, 7, 5, 1, 1, 1, 4, 5, 8, 6, 2, 0, 0, 2, 0, 6, 9, 7, 3, 1, 1, 0, 1, 0, 10, 8, 4, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,7
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COMMENTS
| The triangle begins with T(2, 2).
A number p is prime, beginning a new column, iff T(p, k) is nonzero for all k < p; T(p, p) is then 0.
Each row can be produced from the previous row by adding one to each number and resetting to zero any which would equal their column number. A complex pattern emerges if values in the triangle are taken modulo 2.
The triangle begins as so:
[2] 0
[3] 1 0
... 0 1
[5] 1 2 0
... 0 0 1
[7] 1 1 2 0
... 0 2 3 1
... 1 0 4 2
... 0 1 0 3
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LINKS
| Eric Weisstein's World of Mathematics, Redheffer Matrix
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CROSSREFS
| Cf. A002321, A083058
Sequence in context: A106405 A089310 A129753 * A070936 A014081 A091890
Adjacent sequences: A147690 A147691 A147692 * A147694 A147695 A147696
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KEYWORD
| easy,nonn,tabf
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AUTHOR
| Reikku Kulon (reikku(AT)gmail.com), Nov 10 2008
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