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Search: id:A091885
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| A091885 |
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Triangle T(n,k) defined by the generating function (in Maple notation): cosh(sqrt(y)*arcsin(x)) + sqrt(y)*sinh(sqrt(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, 1, 1, 1, 4, 1, 9, 10, 1, 64, 20, 1, 225, 259, 35, 1, 2304, 784, 56, 1, 11025, 12916, 1974, 84, 1, 147456, 52480, 4368, 120, 1, 893025, 1057221, 172810, 8778, 165, 1, 14745600, 5395456, 489280, 16368, 220, 1, 108056025, 128816766, 21967231, 1234948, 28743
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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Row sums are equal to A006228(n). This is sequence A121408 without the intertwining zeros. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 28 2006
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EXAMPLE
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Triangle starts:
1;
1;
1,1;
4,1;
9,10,1;
64,20,1;
225,259,35,1;
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MAPLE
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G:=cosh(sqrt(y)*arcsin(x))+sqrt(y)*sinh(sqrt(y)*arcsin(x))-1: Gser:=simplify(series(G, x=0, 15)): for n from 1 to 13 do P[n]:=sort(expand(n!*coeff(Gser, x, n))) od: for n from 1 to 13 do seq(coeff(P[n], y, k), k=1..ceil(n/2)) od; # yields sequence in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 28 2006
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CROSSREFS
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Cf. A006228.
Cf. A121408.
Sequence in context: A084887 A067015 A158199 this_sequence A069606 A001254 A075150
Adjacent sequences: A091882 A091883 A091884 this_sequence A091886 A091887 A091888
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KEYWORD
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nonn,tabf,easy
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Feb 08 2004
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EXTENSIONS
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More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004
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