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Search: id:A071201
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A071201 Array read by antidiagonals giving number of paths up and left from (0,0) to (n,k) where x/y<=n/k. +0
4
1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 3, 5, 5, 3, 1, 1, 4, 7, 14, 7, 4, 1, 1, 4, 12, 14, 14, 12, 4, 1, 1, 5, 12, 23, 42, 23, 12, 5, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 6, 22, 55, 66, 132, 66, 55, 22, 6, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1, 7, 26, 76, 143, 227 (list; table; graph; listen)
OFFSET

1,5

FORMULA

Some identities: a(n, k)=a(k, n); a(n, m*n)=a(n, m*n+1); a(n, n)=A000108(n); if n and k are coprime then a(n, k)=A071202(n, k)

CROSSREFS

Sequence in context: A156044 A048570 A090806 this_sequence A106476 A101566 A156074

Adjacent sequences: A071198 A071199 A071200 this_sequence A071202 A071203 A071204

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 16 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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