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Search: id:A129631
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| A129631 |
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Numbers n such that sum of digits of binomial(n+1,n-1) is a prime. |
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+0
2
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| 2, 6, 15, 20, 24, 31, 34, 43, 52, 61, 67, 70, 76, 85, 88, 91, 94, 97, 103, 106, 112, 115, 121, 124, 127, 130, 133, 136, 139, 141, 145, 151, 154, 160, 163, 166, 169, 178, 181, 190, 193, 196, 199, 200, 208, 211, 217, 226, 229, 232, 235, 238, 241, 247, 250, 259
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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binomial(6+1,6-1)=binomial(7,5)=7!/(5!*2!)=21 --> 2+1=3 prime.
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MAPLE
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P:=proc(n) local i, k, w; for i from 1 by 1 to n do w:=0; k:=binomial(i+1, i-1); while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; if isprime(w) then print(i); fi; od; end: P(1000);
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CROSSREFS
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Sequence in context: A134891 A020947 A011777 this_sequence A014847 A013636 A144653
Adjacent sequences: A129628 A129629 A129630 this_sequence A129632 A129633 A129634
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KEYWORD
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nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), May 31 2007
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