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Search: id:A143541
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| A143541 |
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Triangle read by rows, T(n,k) = 1 if n & k are prime, 0 otherwise; 1<=k<=n. |
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+0
3
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| 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums = the prime count, A049084: (0, 1, 2, 0, 3, 0, 4, 0, 0, 0, 5,...).
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FORMULA
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Triangle read by rows, T(n,k) = 1 if n & k are prime, 0 otherwise. n-th row = n zeros if n is a nonprime; first n terms of A010051 (the characteristic function of primes) if n is prime.
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EXAMPLE
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First few rows of the triangle are:
0;
0, 1;
0, 1, 1;
0, 0, 0, 0;
0, 1, 1, 0, 1;
0, 0, 0, 0, 0, 0;
0, 1, 1, 0, 1, 0, 1;
...
Row 5 = first 5 terms of A010051: (0, 1, 1, 0, 1).
T(5,3) = 1 since (5,3) are prime; but T(5,4) = 0 since 4 is a nonprime.
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CROSSREFS
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Cf. A010051, A049084.
Sequence in context: A144608 A095907 A056051 this_sequence A090173 A072784 A092436
Adjacent sequences: A143538 A143539 A143540 this_sequence A143542 A143543 A143544
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 23 2008
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