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A071202 Array read by antidiagonals giving number of paths up and left from (0,0) to (n,k) where x/y<n/k (except at start and finish). 3
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 3, 1, 1, 3, 7, 5, 7, 3, 1, 1, 4, 7, 14, 14, 7, 4, 1, 1, 4, 12, 19, 14, 19, 12, 4, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 5, 15, 30, 66, 42, 66, 30, 15, 5, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1, 6, 26, 67, 143, 202, 132 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Table of n, a(n) for n=1..85.

FORMULA

Some identities: a(n, k)=a(k, n); a(n, m*n)=a(n, m*n-1); a(n, n)=A000108(n-1); if n and k are coprime then a(n, k)=A071201(n, k)

CROSSREFS

Sequence in context: A109338 A291191 A273866 * A207379 A220163 A102715

Adjacent sequences:  A071199 A071200 A071201 * A071203 A071204 A071205

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, May 16 2002

STATUS

approved

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Last modified February 20 14:52 EST 2019. Contains 320327 sequences. (Running on oeis4.)