Search: id:a007469
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A007469
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Shifts left 2 places under Stirling2 transform.
(Formerly M1498)
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+0
6
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1, 1, 1, 2, 5, 16, 66, 343, 2167, 16193, 140919, 1414947, 16258868, 211935996, 3105828560, 50748310068, 918138961643, 18287966027343, 399145502051200, 9505803743367971, 246064556796896554, 6897674469134480653, 208651954748397405264, 6788671409470892058148
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OFFSET
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1,4
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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. [Link to Lin. Alg. Applic. version together with omitted figures]
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MAPLE
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stirtr:= proc(p)
proc(n) add(p(k)*Stirling2(n, k), k=0..n) end
end:
a:= proc(n) option remember; `if`(n<3, 1, aa(n-2)) end:
aa:= stirtr(a):
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MATHEMATICA
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stirtr[p_] := Function[{n}, Sum[p[k]*StirlingS2[n, k], {k, 0, n}]]; a[n_] := a[n] = If[n<3, 1, aa[n-2]]; aa = stirtr[a]; Table[a[n], {n, 1, 24}] (* Jean-François Alcover, Jan 09 2013, translated from Alois P. Heinz's Maple program *)
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KEYWORD
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nonn,nice,eigen
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AUTHOR
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STATUS
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approved
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