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A126799 Triangle read by rows, 1<=m<=n: t(n,m) = GCD(s(n,m),S(n,m)), where s(n,m) is an unsigned Stirling number of the first kind and S(n,m) is a Stirling number of the second kind. +0
1
1, 1, 1, 1, 3, 1, 1, 1, 6, 1, 1, 5, 5, 10, 1, 1, 1, 45, 5, 15, 1, 1, 63, 7, 35, 35, 21, 1, 1, 1, 14, 7, 70, 14, 28, 1, 1, 3, 1, 42, 21, 378, 42, 36, 1, 1, 1, 30, 5, 14175, 21, 210, 30, 45, 1, 1, 33, 11, 2750, 110, 231, 231, 330, 165, 55, 1, 1, 1, 198, 11, 3630, 11, 462, 33, 1485, 55 (list; table; graph; listen)
OFFSET

1,5

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

Triangle starts:

1;

1,1;

1,3,1;

1,1,6,1;

1,5,5,10,1;

1,1,45,5,15,1;

MAPLE

with(combinat): T:=(n, k)->gcd(abs(stirling1(n, k)), stirling2(n, k)): for n from 1 to 13 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 25 2007

CROSSREFS

Cf. A008275, A008277, A128266 (row sums).

Sequence in context: A109221 A046643 A112475 this_sequence A135494 A016566 A096744

Adjacent sequences: A126796 A126797 A126798 this_sequence A126800 A126801 A126802

KEYWORD

nonn,tabl

AUTHOR

Leroy Quet Feb 21 2007

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 25 2007

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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