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Search: id:A084757
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| A084757 |
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For n, k > 0, let T(n, k) be given by T(n, 1) = n, and T(n, k+1) = k*T(n, k)+1. a(n) is the sum of the n-th antidiagonal. |
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+0
2
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| 1, 4, 11, 31, 106, 466, 2577, 17151, 132666, 1165310, 11438525, 123981551, 1469997610, 18919751410, 262644893329, 3911200633719, 62186842823250, 1051369907752254, 18832837831656989, 356278889320409303
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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E.g.f.: exp(x)*((Ei(1)-Ei(1-x))*x*exp(-1)+1-ln(1-x)+1/(1-x))-1. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 06 2005
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EXAMPLE
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The table begins
1 2 5 16 65 326 1957 ...
2 3 7 22 89 446 2677 ...
3 4 9 28 113 566 3397 ...
4 5 11 34 137 686 4117 ...
...
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CROSSREFS
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Cf. A000522, A084756.
Sequence in context: A027115 A077995 A076730 this_sequence A027153 A034754 A038747
Adjacent sequences: A084754 A084755 A084756 this_sequence A084758 A084759 A084760
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KEYWORD
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nonn,easy
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 17 2003
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EXTENSIONS
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Edited and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Jan 05 2005
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