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Search: id:A073480
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| A073480 |
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Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp(x*y)*ln(1+x)/(1-x). |
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+0
2
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| 1, 1, 2, 5, 3, 3, 14, 20, 6, 4, 94, 70, 50, 10, 5, 444, 564, 210, 100, 15, 6, 3828, 3108, 1974, 490, 175, 21, 7, 25584, 30624, 12432, 5264, 980, 280, 28, 8, 270576, 230256, 137808, 37296, 11844, 1764, 420, 36, 9, 2342880, 2705760, 1151280, 459360, 93240
(list; table; graph; listen)
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OFFSET
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1,3
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FORMULA
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E.g.f. for k-th column is x^k/k!*ln(1+x)/(1-x). O.g.f. for n-th row is Sum_{i=0..n} binomial(n, i)*A024167(n-i)*y^i.
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MAPLE
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G:=exp(x*y)*ln(1+x)/(1-x): Gser:=series(G, x=0, 12): for n from 1 to 10 do P[n]:=n!*coeff(Gser, x^n) od: for n from 1 to 10 do seq(coeff(y*P[n], y^k), k=1..n) od; (Deutsch)
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CROSSREFS
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Cf. A073107.
Sequence in context: A141637 A151960 A115320 this_sequence A077057 A030660 A146096
Adjacent sequences: A073477 A073478 A073479 this_sequence A073481 A073482 A073483
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 26 2002
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 14 2004
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