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Search: id:A005012
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| A005012 |
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Shifts one place left under 6th order binomial transform.
(Formerly M4434)
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+0
3
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| 1, 7, 55, 505, 5497, 69823, 1007407, 16157905, 284214097, 5432922775, 112034017735, 2476196276617, 58332035387017, 1457666574447247, 38485034941511935, 1069787864231083297, 31213730550761076769
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. Kerber, A matrix of combinatorial numbers related to the symmetric groups, Discrete Math., 21 (1978), 319-321.
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.
N. J. A. Sloane, Transforms
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FORMULA
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a(n)=sum((6^(n-m))*stirling2(n, m), m=1..n), n>=1. a(0)=1. sterling2(n, m)=A008277(n, m).
E.g.f.: exp((exp(6*x)-1)/6). O.g.f. A(x) satisfies A'(x)/A(x) = e^(6x).
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CROSSREFS
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Adjacent sequences: A005009 A005010 A005011 this_sequence A005013 A005014 A005015
Sequence in context: A116862 A096307 A124403 this_sequence A123784 A091695 A002882
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Simon Plouffe (plouffe(AT)math.uqam.ca)
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