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Search: id:A059099
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| A059099 |
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Expansion of exp(exp(x)-1)/(2-exp(x)). |
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+0
3
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| 1, 2, 7, 33, 198, 1453, 12669, 128320, 1482721, 19260421, 277913552, 4410640919, 76360030701, 1432144732762, 28926138244883, 625974400305541, 14449445989893990, 354384475357492593, 9202837263156670345
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=Sum_{m=0..n} Sum_{i=0..n} stirling2(n, i)*Product_{j=1..m} (i-j+1).
Stirling transform of A000522. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 10 2004
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EXAMPLE
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exp(exp(x)-1)/(2-exp(x)) = 1 + 2*x + 7/2*x^2 + 11/2*x^3 + 33/4*x^4 + 1453/120*x^5 + 4223/240*x^6 + 1604/63*x^7 + ...
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MAPLE
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s := series(exp(exp(x)-1)/(2-exp(x)), x, 60): for i from 0 to 50 do printf(`%d, `, i!*coeff(s, x, i)) od:
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CROSSREFS
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Row sums of A059098. Cf. A001861, A000110, A005493, A049020.
Sequence in context: A104981 A058797 A006595 this_sequence A020103 A014623 A144005
Adjacent sequences: A059096 A059097 A059098 this_sequence A059100 A059101 A059102
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 03 2001
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