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A001028 E.g.f. satisfies A'(x)=1+A(A(x)), A(0)=0. +0
6
1, 1, 2, 7, 37, 269, 2535, 29738, 421790, 7076459, 138061343, 3089950076, 78454715107, 2238947459974, 71253947372202, 2511742808382105, 97495087989736907, 4145502184671892500, 192200099033324115855 (list; graph; listen)
OFFSET

1,3

REFERENCES

P. J. Cameron, Sequence operators from groups, Linear Alg. Applic., 226-228 (1995), 109-113.

MAPLE

A:= proc(n) option remember; local T; if n=0 then 0 else T:= A(n-1); unapply (convert (series (Int (1+T(T(x)), x) , x, n+1), polynom), x) fi end: a:= n-> coeff (A(n)(x), x, n)*n!: seq (a(n), n=1..19); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 23 2008]

CROSSREFS

Cf. A030266, A035049.

Adjacent sequences: A001025 A001026 A001027 this_sequence A001029 A001030 A001031

Sequence in context: A083659 A036247 A107877 this_sequence A116481 A102743 A036432

KEYWORD

nonn,eigen,nice

AUTHOR

Peter Cameron [ P.J.Cameron(AT)qmw.ac.uk ]

EXTENSIONS

More terms from Christian G. Bower (bowerc(AT)usa.net), Oct 15 1998.

Corrected by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 23 2008

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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