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Search: id:A113303
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| A113303 |
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Least number k such that prime(n) divides T(k), the central trinomial coefficient A002426(k), or 0 if there is no such k. |
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+0
5
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| 0, 2, 0, 3, 0, 0, 5, 4, 0, 0, 0, 0, 8, 9, 6, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 26, 47, 12, 0, 7, 0, 0, 0, 0, 0, 0, 0, 28, 44, 0, 31, 51, 0, 61, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 89, 0, 90, 135, 98, 48, 122, 120, 0, 0, 0, 0, 121, 0, 0, 0, 0, 112, 0, 91, 0, 0, 55, 63, 133, 48, 0, 0, 126, 179, 0, 78
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OFFSET
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1,2
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COMMENT
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When a(n)=0, prime(n) is in A113305. When a(n)>0, prime(n) is in A113304.
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MATHEMATICA
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nn=1000; a=b=1; t=Join[{1}, Table[c=((2n-1)b+3(n-1)a)/n; a=b; b=c; c, {n, 2, nn}]]; Table[p=Prime[i]; k=1; While[k<nn && Mod[t[[k]], p]>0, k++ ]; If[k==nn, 0, k], {i, PrimePi[nn]}]
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CROSSREFS
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Cf. A113302 (number of k for which prime(n) divides T(k)).
Adjacent sequences: A113300 A113301 A113302 this_sequence A113304 A113305 A113306
Sequence in context: A071391 A102390 A127640 this_sequence A080089 A113290 A078442
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Oct 24 2005
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