login
A007469
Shifts left 2 places under Stirling2 transform.
(Formerly M1498)
6
1, 1, 1, 2, 5, 16, 66, 343, 2167, 16193, 140919, 1414947, 16258868, 211935996, 3105828560, 50748310068, 918138961643, 18287966027343, 399145502051200, 9505803743367971, 246064556796896554, 6897674469134480653, 208651954748397405264, 6788671409470892058148
OFFSET
1,4
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
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 arXiv version]
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]
N. J. A. Sloane, Transforms
MAPLE
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):
seq(a(n), n=1..25); # Alois P. Heinz, Jun 22 2012
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A268170 A000522 A182290 * A306026 A091139 A084785
KEYWORD
nonn,nice,eigen
STATUS
approved