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Search: id:A121408
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| A121408 |
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Triangle T(n,k) defined by the generating function (in Maple notation): exp(y*arcsin(x))-1=sum( sum(T(n,k)*y^k, k=1..n)*x^n/n!, n=1..infinity). |
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+0
3
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| 1, 0, 1, 1, 0, 1, 0, 4, 0, 1, 9, 0, 10, 0, 1, 0, 64, 0, 20, 0, 1, 225, 0, 259, 0, 35, 0, 1, 0, 2304, 0, 784, 0, 56, 0, 1, 11025, 0, 12916, 0, 1974, 0, 84, 0, 1, 0, 147456, 0, 52480, 0, 4368, 0, 120, 0, 1, 893025, 0, 1057221, 0, 172810, 0, 8778, 0, 165, 0, 1, 0, 14745600, 0
(list; graph; listen)
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OFFSET
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1,8
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COMMENT
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Row sums are equal to A006228(n). This is sequence A091885 with additional intertwining zeros.
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EXAMPLE
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Triangle starts:
1;
0,1;
1,0,1;
0,4,0,1;
9,0,10,0,1;
0,64,0,20,0,1;
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MAPLE
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g:=exp(y*arcsin(x))-1: gser:=simplify(series(g, x=0, 15)): for n from 1 to 12 do P[n]:=sort(n!*coeff(gser, x, n)) od: for n from 1 to 12 do seq(coeff(P[n], y, k), k=1..n) od; # yields sequence in triangular form
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CROSSREFS
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Cf. A006228, A091885.
Sequence in context: A154884 A059678 A079642 this_sequence A121301 A059056 A127153
Adjacent sequences: A121405 A121406 A121407 this_sequence A121409 A121410 A121411
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 28 2006
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