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Search: id:A114920
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| A114920 |
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Triangle where a(0,0) = 1; a(n,m) = number of terms in row (n-1) which, when added to m, are primes. |
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+0
4
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| 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 4, 1, 3, 1, 2, 3, 4, 1, 4, 0, 2, 4, 3, 4, 2, 2, 1, 4, 6, 2, 5, 2, 3, 1, 2, 5, 6, 3, 4, 2, 4, 2, 2, 2, 6, 7, 2, 6, 1, 5, 1, 3, 2, 6, 5, 7, 4, 2, 4, 5, 4, 3, 2, 2, 4, 7, 7, 3, 7, 2, 3, 3, 4, 3, 7, 2, 3, 11, 3, 5, 3, 9, 2, 4, 1, 5, 3, 9, 2, 4, 8, 5, 9, 4, 6, 2, 4, 2, 8, 4, 6, 2, 4, 2
(list; table; graph; listen)
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OFFSET
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0,6
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EXAMPLE
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Row 3 of the triangle is [1,2,2,2]. Adding 0 to these gives [1,2,2,2], of which 3 terms are primes. Adding 1 to these gives [2,3,3,3], of which 4 terms are primes. Adding 2 to these gives [3,4,4,4], of which one term is prime. Adding 3 to these gives [4,5,5,5], of which 3 terms are primes. Adding 4 to these gives [5,6,6,6], of which one term is prime. So row 4 is [3,4,1,3,1].
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PROGRAM
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(PARI) {v=[1]; for(k=1, 20, w=vector(length(v)+1); for(i=0, length(v), for(j=1, length(v), if(isprime(v[j]+i), w[i+1]++))); v=w; print(v))} (Herrgesell)
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CROSSREFS
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Cf. A114919, A114905, A114906.
Sequence in context: A125950 A052954 A123505 this_sequence A030361 A060715 A108954
Adjacent sequences: A114917 A114918 A114919 this_sequence A114921 A114922 A114923
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KEYWORD
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nonn,tabl
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Jan 07 2006
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EXTENSIONS
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More terms from Lambert Herrgesell (zero815(AT)googlemail.com), Jan 13 2006
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